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72571380 = 223571311319
BaseRepresentation
bin1000101001101…
…01100111110100
312001120000012220
410110311213310
5122034241010
611111242340
71540563240
oct424654764
9161500186
1072571380
1137a67a52
12203793b0
131205c05b
1498d1420
156587970
hex45359f4

72571380 has 96 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 16448640.

The previous prime is 72571327. The next prime is 72571439. The reversal of 72571380 is 8317527.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54361 + ... + 55679.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 272571380 is an apocalyptic number.

72571380 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72571380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

72571380 is an abundant number, since it is smaller than the sum of its proper divisors (161607180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72571380 is a wasteful number, since it uses less digits than its factorization.

72571380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 72571380 is about 8518.8837296913. The cubic root of 72571380 is about 417.1143462048.

The spelling of 72571380 in words is "seventy-two million, five hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 524 655 786 917 1310 1319 1572 1834 1965 2620 2638 2751 3668 3930 3957 4585 5276 5502 6595 7860 7914 9170 9233 11004 13190 13755 15828 18340 18466 19785 26380 27510 27699 36932 39570 46165 55020 55398 79140 92330 110796 138495 172789 184660 276990 345578 518367 553980 691156 863945 1036734 1209523 1727890 2073468 2419046 2591835 3455780 3628569 4838092 5183670 6047615 7257138 10367340 12095230 14514276 18142845 24190460 36285690 72571380