73200960 has 168 divisors, whose sum is σ = 287828736. Its totient is φ = 16727040.

The previous prime is 73200931. The next prime is 73200979. The reversal of 73200960 is 6900237.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18345 + ... + 21975.

Almost surely, 2^73200960 is an apocalyptic number.

73200960 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 73200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143914368).

73200960 is an abundant number, since it is smaller than the sum of its proper divisors (214627776).

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

73200960 is a wasteful number, since it uses less digits than its factorization.

73200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 73200960 is about 8555.7559572489. The cubic root of 73200960 is about 418.3170751112.

The spelling of 73200960 in words is "seventy-three million, two hundred thousand, nine hundred sixty".