73913001120 has 384 divisors, whose sum is σ = 296086855680. Its totient is φ = 16869565440.

The previous prime is 73913001073. The next prime is 73913001137. The reversal of 73913001120 is 2110031937.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27547299 + ... + 27549981.

It is an arithmetic number, because the mean of its divisors is an integer number (771059520).

Almost surely, 2^73913001120 is an apocalyptic number.

73913001120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73913001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148043427840).

73913001120 is an abundant number, since it is smaller than the sum of its proper divisors (222173854560).

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

73913001120 is a wasteful number, since it uses less digits than its factorization.

73913001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 73913001120 in words is "seventy-three billion, nine hundred thirteen million, one thousand, one hundred twenty".