73920864 has 96 divisors (see below), whose sum is σ = 204180480. Its totient is φ = 23385600.

The previous prime is 73920863. The next prime is 73920883. The reversal of 73920864 is 46802937.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73920863) by changing a digit.

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, 175374 + ... + 175794.

It is an arithmetic number, because the mean of its divisors is an integer number (2126880).

Almost surely, 2^73920864 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 73920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102090240).

73920864 is an abundant number, since it is smaller than the sum of its proper divisors (130259616).

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

73920864 is a wasteful number, since it uses less digits than its factorization.

73920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 73920864 is about 8597.7243500824. The cubic root of 73920864 is about 419.6839345444.

The spelling of 73920864 in words is "seventy-three million, nine hundred twenty thousand, eight hundred sixty-four".