72756320 has 192 divisors, whose sum is σ = 223534080. Its totient is φ = 21731328.

The previous prime is 72756317. The next prime is 72756373. The reversal of 72756320 is 2365727.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276509 + ... + 276771.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^72756320 is an apocalyptic number.

72756320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

72756320 is an abundant number, since it is smaller than the sum of its proper divisors (150777760).

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

72756320 is a wasteful number, since it uses less digits than its factorization.

72756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 72756320 is about 8529.7315315313. The cubic root of 72756320 is about 417.4683686459.

The spelling of 72756320 in words is "seventy-two million, seven hundred fifty-six thousand, three hundred twenty".