73920624 has 80 divisors (see below), whose sum is σ = 203835168. Its totient is φ = 23003136.

The previous prime is 73920619. The next prime is 73920661. The reversal of 73920624 is 42602937.

73920624 = 62² + 63² + ... + 605².

It is a congruent number.

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, 127824 + ... + 128400.

Almost surely, 2^73920624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73920624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101917584).

73920624 is an abundant number, since it is smaller than the sum of its proper divisors (129914544).

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

73920624 is a wasteful number, since it uses less digits than its factorization.

73920624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 73920624 is about 8597.7103928895. The cubic root of 73920624 is about 419.6834803458.

It can be divided in two parts, 739206 and 24, that multiplied together give a square (17740944 = 4212²).

The spelling of 73920624 in words is "seventy-three million, nine hundred twenty thousand, six hundred twenty-four".