73465920 has 224 divisors, whose sum is σ = 283098240. Its totient is φ = 17786880.

The previous prime is 73465919. The next prime is 73465937. The reversal of 73465920 is 2956437.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94654 + ... + 95426.

Almost surely, 2^73465920 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 73465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141549120).

73465920 is an abundant number, since it is smaller than the sum of its proper divisors (209632320).

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

73465920 is a wasteful number, since it uses less digits than its factorization.

73465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 73465920 is about 8571.2262833273. The cubic root of 73465920 is about 418.8211843046.

The spelling of 73465920 in words is "seventy-three million, four hundred sixty-five thousand, nine hundred twenty".