73921600 has 84 divisors (see below), whose sum is σ = 185952384. Its totient is φ = 28910080.

The previous prime is 73921583. The next prime is 73921619. The reversal of 73921600 is 612937.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74709 + ... + 75691.

Almost surely, 2^73921600 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 73921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92976192).

73921600 is an abundant number, since it is smaller than the sum of its proper divisors (112030784).

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

73921600 is a wasteful number, since it uses less digits than its factorization.

73921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 73921600 is about 8597.7671519994. The cubic root of 73921600 is about 419.6853274139.

The spelling of 73921600 in words is "seventy-three million, nine hundred twenty-one thousand, six hundred".