73992960 has 144 divisors (see below), whose sum is σ = 262694880. Its totient is φ = 19722240.

The previous prime is 73992943. The next prime is 73992979. The reversal of 73992960 is 6929937.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33490 + ... + 35630.

It is an arithmetic number, because the mean of its divisors is an integer number (1824270).

Almost surely, 2^73992960 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 73992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131347440).

73992960 is an abundant number, since it is smaller than the sum of its proper divisors (188701920).

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

73992960 is a wasteful number, since it uses less digits than its factorization.

73992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 73992960 is about 8601.9160656217. The cubic root of 73992960 is about 419.8203313151.

The spelling of 73992960 in words is "seventy-three million, nine hundred ninety-two thousand, nine hundred sixty".