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72062970 = 23572911833
BaseRepresentation
bin1000100101110…
…01011111111010
312000121011210220
410102321133322
5121422003340
611052320510
71533345060
oct422713772
9160534726
1072062970
113774aa81
1220173136
1311c11815
1497dc030
1564d6ed0
hex44b97fa

72062970 has 64 divisors (see below), whose sum is σ = 204491520. Its totient is φ = 15902208.

The previous prime is 72062957. The next prime is 72062981. The reversal of 72062970 is 7926027.

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, 174 + ... + 12006.

It is an arithmetic number, because the mean of its divisors is an integer number (3195180).

Almost surely, 272062970 is an apocalyptic number.

72062970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72062970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102245760).

72062970 is an abundant number, since it is smaller than the sum of its proper divisors (132428550).

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

72062970 is a wasteful number, since it uses less digits than its factorization.

72062970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72062970 is about 8488.9911061327. The cubic root of 72062970 is about 416.1380097138.

Adding to 72062970 its reverse (7926027), we get a palindrome (79988997).

The spelling of 72062970 in words is "seventy-two million, sixty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 11833 23666 35499 59165 70998 82831 118330 165662 177495 248493 343157 354990 414155 496986 686314 828310 1029471 1242465 1715785 2058942 2402099 2484930 3431570 4804198 5147355 7206297 10294710 12010495 14412594 24020990 36031485 72062970