73513920 has 112 divisors (see below), whose sum is σ = 236829600. Its totient is φ = 19316736.

The previous prime is 73513919. The next prime is 73513939. The reversal of 73513920 is 2931537.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69556 + ... + 70604.

It is an arithmetic number, because the mean of its divisors is an integer number (2114550).

Almost surely, 2^73513920 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 73513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118414800).

73513920 is an abundant number, since it is smaller than the sum of its proper divisors (163315680).

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

73513920 is a wasteful number, since it uses less digits than its factorization.

73513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 73513920 is about 8574.0258921932. The cubic root of 73513920 is about 418.9123786985.

The spelling of 73513920 in words is "seventy-three million, five hundred thirteen thousand, nine hundred twenty".