72476760 has 64 divisors (see below), whose sum is σ = 224455680. Its totient is φ = 18702720.

The previous prime is 72476743. The next prime is 72476777. The reversal of 72476760 is 6767427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72476743) and next prime (72476777).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6022 + ... + 13461.

It is an arithmetic number, because the mean of its divisors is an integer number (3507120).

Almost surely, 2^72476760 is an apocalyptic number.

It is an amenable number.

72476760 is an abundant number, since it is smaller than the sum of its proper divisors (151978920).

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

72476760 is a wasteful number, since it uses less digits than its factorization.

72476760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19528 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 72476760 is about 8513.3283737913. The cubic root of 72476760 is about 416.9329867182.

The spelling of 72476760 in words is "seventy-two million, four hundred seventy-six thousand, seven hundred sixty".