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72487038 = 23133892389
BaseRepresentation
bin1000101001000…
…01000001111110
312001101201112010
410110201001332
5122024041123
611105352050
71540062321
oct424410176
9161351463
1072487038
1137a0a648
1220338626
131202c850
1498ac7b8
15656c993
hex452107e

72487038 has 32 divisors (see below), whose sum is σ = 156592800. Its totient is φ = 22237056.

The previous prime is 72487013. The next prime is 72487049. The reversal of 72487038 is 83078427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72486987 and 72487005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29148 + ... + 31536.

It is an arithmetic number, because the mean of its divisors is an integer number (4893525).

Almost surely, 272487038 is an apocalyptic number.

72487038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72487038 is an abundant number, since it is smaller than the sum of its proper divisors (84105762).

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

72487038 is a wasteful number, since it uses less digits than its factorization.

72487038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796.

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 72487038 is about 8513.9319940906. The cubic root of 72487038 is about 416.9526943445.

The spelling of 72487038 in words is "seventy-two million, four hundred eighty-seven thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 389 778 1167 2334 2389 4778 5057 7167 10114 14334 15171 30342 31057 62114 93171 186342 929321 1858642 2787963 5575926 12081173 24162346 36243519 72487038