72949680 has 80 divisors (see below), whose sum is σ = 251278560. Its totient is φ = 19452672.

The previous prime is 72949673. The next prime is 72949693. The reversal of 72949680 is 8694927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14727 + ... + 19046.

It is an arithmetic number, because the mean of its divisors is an integer number (3140982).

Almost surely, 2^72949680 is an apocalyptic number.

It is an amenable number.

72949680 is an abundant number, since it is smaller than the sum of its proper divisors (178328880).

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

72949680 is a wasteful number, since it uses less digits than its factorization.

72949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33795 (or 33783 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 72949680 is about 8541.0584824131. The cubic root of 72949680 is about 417.8378681820.

The spelling of 72949680 in words is "seventy-two million, nine hundred forty-nine thousand, six hundred eighty".