72792320 has 144 divisors (see below), whose sum is σ = 188742960. Its totient is φ = 26836992.

The previous prime is 72792301. The next prime is 72792359. The reversal of 72792320 is 2329727.

It can be written as a sum of positive squares in 8 ways, for example, as 5683456 + 67108864 = 2384^2 + 8192^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1373414 + ... + 1373466.

It is an arithmetic number, because the mean of its divisors is an integer number (1310715).

Almost surely, 2^72792320 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 72792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94371480).

72792320 is an abundant number, since it is smaller than the sum of its proper divisors (115950640).

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

72792320 is a wasteful number, since it uses less digits than its factorization.

72792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 72792320 is about 8531.8415362687. The cubic root of 72792320 is about 417.5372120727.

The spelling of 72792320 in words is "seventy-two million, seven hundred ninety-two thousand, three hundred twenty".