72926304 has 96 divisors (see below), whose sum is σ = 212937984. Its totient is φ = 21665280.

The previous prime is 72926279. The next prime is 72926317. The reversal of 72926304 is 40362927.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55317 + ... + 56619.

It is an arithmetic number, because the mean of its divisors is an integer number (2218104).

Almost surely, 2^72926304 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 72926304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106468992).

72926304 is an abundant number, since it is smaller than the sum of its proper divisors (140011680).

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

72926304 is a wasteful number, since it uses less digits than its factorization.

72926304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72926304 is about 8539.6899241132. The cubic root of 72926304 is about 417.7932327499.

The spelling of 72926304 in words is "seventy-two million, nine hundred twenty-six thousand, three hundred four".