72856401 has 16 divisors (see below), whose sum is σ = 98300160. Its totient is φ = 47995920.

The previous prime is 72856391. The next prime is 72856423. The reversal of 72856401 is 10465827.

It is not a de Polignac number, because 72856401 - 2⁶ = 72856337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72856481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112986 + ... + 113628.

It is an arithmetic number, because the mean of its divisors is an integer number (6143760).

Almost surely, 2^72856401 is an apocalyptic number.

It is an amenable number.

72856401 is a deficient number, since it is larger than the sum of its proper divisors (25443759).

72856401 is a wasteful number, since it uses less digits than its factorization.

72856401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72856401 is about 8535.5961127504. The cubic root of 72856401 is about 417.6596991452.

The spelling of 72856401 in words is "seventy-two million, eight hundred fifty-six thousand, four hundred one".