72733904 has 10 divisors (see below), whose sum is σ = 140921970. Its totient is φ = 36366944.

The previous prime is 72733901. The next prime is 72733907. The reversal of 72733904 is 40933727.

It is an interprime number because it is at equal distance from previous prime (72733901) and next prime (72733907).

It can be written as a sum of positive squares in only one way, i.e., 48330304 + 24403600 = 6952^2 + 4940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72733901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2272919 + ... + 2272950.

It is an arithmetic number, because the mean of its divisors is an integer number (14092197).

Almost surely, 2^72733904 is an apocalyptic number.

It is an amenable number.

72733904 is a deficient number, since it is larger than the sum of its proper divisors (68188066).

72733904 is a wasteful number, since it uses less digits than its factorization.

72733904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545877 (or 4545871 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 72733904 is about 8528.4174381886. The cubic root of 72733904 is about 417.4254906656.

It can be divided in two parts, 72733 and 904, that added together give a palindrome (73637).

The spelling of 72733904 in words is "seventy-two million, seven hundred thirty-three thousand, nine hundred four".