72905838 has 16 divisors (see below), whose sum is σ = 146281296. Its totient is φ = 24223680.

The previous prime is 72905827. The next prime is 72905891. The reversal of 72905838 is 83850927.

It is a super-2 number, since 2×72905838² = 10630522428964488, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72905838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17533 + ... + 21288.

It is an arithmetic number, because the mean of its divisors is an integer number (9142581).

Almost surely, 2^72905838 is an apocalyptic number.

72905838 is an abundant number, since it is smaller than the sum of its proper divisors (73375458).

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

72905838 is a wasteful number, since it uses less digits than its factorization.

72905838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39139.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 72905838 is about 8538.4915529618. The cubic root of 72905838 is about 417.7541460014.

The spelling of 72905838 in words is "seventy-two million, nine hundred five thousand, eight hundred thirty-eight".