72320904 has 64 divisors (see below), whose sum is σ = 202737600. Its totient is φ = 23885568.

The previous prime is 72320891. The next prime is 72320917. The reversal of 72320904 is 40902327.

It is an interprime number because it is at equal distance from previous prime (72320891) and next prime (72320917).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22927 + ... + 25889.

It is an arithmetic number, because the mean of its divisors is an integer number (3167775).

Almost surely, 2^72320904 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 72320904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101368800).

72320904 is an abundant number, since it is smaller than the sum of its proper divisors (130416696).

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

72320904 is a wasteful number, since it uses less digits than its factorization.

72320904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72320904 is about 8504.1698007507. The cubic root of 72320904 is about 416.6339108828.

The spelling of 72320904 in words is "seventy-two million, three hundred twenty thousand, nine hundred four".