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72025140 = 223511611789
BaseRepresentation
bin1000100101100…
…00010000110100
312000112020220210
410102300100310
5121414301030
611051425420
71533126555
oct422602064
9160466823
1072025140
1137724610
1220155270
1311bca535
1497cc32c
1564cabb0
hex44b0434

72025140 has 96 divisors (see below), whose sum is σ = 223735680. Its totient is φ = 17164800.

The previous prime is 72025139. The next prime is 72025189. The reversal of 72025140 is 4152027.

Adding to 72025140 its reverse (4152027), we get a palindrome (76177167).

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, 39366 + ... + 41154.

It is an arithmetic number, because the mean of its divisors is an integer number (2330580).

Almost surely, 272025140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111867840).

72025140 is an abundant number, since it is smaller than the sum of its proper divisors (151710540).

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

72025140 is a wasteful number, since it uses less digits than its factorization.

72025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 72025140 is about 8486.7626336548. The cubic root of 72025140 is about 416.0651787049.

The spelling of 72025140 in words is "seventy-two million, twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1789 1830 2013 2684 3355 3578 3660 4026 5367 6710 7156 8052 8945 10065 10734 13420 17890 19679 20130 21468 26835 35780 39358 40260 53670 59037 78716 98395 107340 109129 118074 196790 218258 236148 295185 327387 393580 436516 545645 590370 654774 1091290 1180740 1200419 1309548 1636935 2182580 2400838 3273870 3601257 4801676 6002095 6547740 7202514 12004190 14405028 18006285 24008380 36012570 72025140