72795904 has 72 divisors (see below), whose sum is σ = 157837680. Its totient is φ = 33374208.

The previous prime is 72795901. The next prime is 72795907. The reversal of 72795904 is 40959727.

It is an interprime number because it is at equal distance from previous prime (72795901) and next prime (72795907).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72795901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186942 + ... + 187330.

It is an arithmetic number, because the mean of its divisors is an integer number (2192190).

Almost surely, 2^72795904 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 72795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78918840).

72795904 is an abundant number, since it is smaller than the sum of its proper divisors (85041776).

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

72795904 is a wasteful number, since it uses less digits than its factorization.

With its successor (72795905) it forms an eRAP, since the sums of their prime factors are consecutive (465 and 466).

72795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 72795904 is about 8532.0515704020. The cubic root of 72795904 is about 417.5440645759.

The spelling of 72795904 in words is "seventy-two million, seven hundred ninety-five thousand, nine hundred four".