72327792 has 80 divisors (see below), whose sum is σ = 199487232. Its totient is φ = 22502400.

The previous prime is 72327757. The next prime is 72327799. The reversal of 72327792 is 29772327.

It is a self number, because there is not a number n which added to its sum of digits gives 72327792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72327799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122923 + ... + 123509.

Almost surely, 2^72327792 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 72327792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

72327792 is an abundant number, since it is smaller than the sum of its proper divisors (127159440).

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

72327792 is a wasteful number, since it uses less digits than its factorization.

72327792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its digits is 74088, while the sum is 39.

The square root of 72327792 is about 8504.5747689111. The cubic root of 72327792 is about 416.6471375025.

The spelling of 72327792 in words is "seventy-two million, three hundred twenty-seven thousand, seven hundred ninety-two".