73633920 has 64 divisors (see below), whose sum is σ = 234714240. Its totient is φ = 19635200.

The previous prime is 73633891. The next prime is 73633927. The reversal of 73633920 is 2933637.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73633927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17256 + ... + 21095.

It is an arithmetic number, because the mean of its divisors is an integer number (3667410).

Almost surely, 2^73633920 is an apocalyptic number.

It is an amenable number.

73633920 is an abundant number, since it is smaller than the sum of its proper divisors (161080320).

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

73633920 is a wasteful number, since it uses less digits than its factorization.

73633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38373 (or 38361 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 73633920 is about 8581.0209182824. The cubic root of 73633920 is about 419.1401911448.

The spelling of 73633920 in words is "seventy-three million, six hundred thirty-three thousand, nine hundred twenty".