73620624 has 80 divisors (see below), whose sum is σ = 237127680. Its totient is φ = 19121280.

The previous prime is 73620619. The next prime is 73620637. The reversal of 73620624 is 42602637.

It is a junction number, because it is equal to n+sod(n) for n = 73620591 and 73620600.

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, 6264 + ... + 13655.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 2^73620624 is an apocalyptic number.

It is an amenable number.

73620624 is an abundant number, since it is smaller than the sum of its proper divisors (163507056).

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

73620624 is a wasteful number, since it uses less digits than its factorization.

73620624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19948 (or 19942 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 73620624 is about 8580.2461503153. The cubic root of 73620624 is about 419.1149617241.

The spelling of 73620624 in words is "seventy-three million, six hundred twenty thousand, six hundred twenty-four".