72758380 has 48 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 28512000.

The previous prime is 72758377. The next prime is 72758401. The reversal of 72758380 is 8385727.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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, 365521 + ... + 365719.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^72758380 is an apocalyptic number.

It is an amenable number.

72758380 is an abundant number, since it is smaller than the sum of its proper divisors (83179220).

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

72758380 is a wasteful number, since it uses less digits than its factorization.

72758380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 72758380 is about 8529.8522847702. The cubic root of 72758380 is about 417.4723086322.

The spelling of 72758380 in words is "seventy-two million, seven hundred fifty-eight thousand, three hundred eighty".