72756480 has 72 divisors (see below), whose sum is σ = 232378272. Its totient is φ = 19400704.

The previous prime is 72756479. The next prime is 72756487. The reversal of 72756480 is 8465727.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72756487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5634 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (3227476).

Almost surely, 2^72756480 is an apocalyptic number.

It is an amenable number.

72756480 is an abundant number, since it is smaller than the sum of its proper divisors (159621792).

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

72756480 is a wasteful number, since it uses less digits than its factorization.

72756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18971 (or 18957 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 72756480 is about 8529.7409104849. The cubic root of 72756480 is about 417.4686746669.

The spelling of 72756480 in words is "seventy-two million, seven hundred fifty-six thousand, four hundred eighty".