72759960 has 192 divisors, whose sum is σ = 291170880. Its totient is φ = 15344640.

The previous prime is 72759959. The next prime is 72759989. The reversal of 72759960 is 6995727.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31650 + ... + 33870.

It is an arithmetic number, because the mean of its divisors is an integer number (1516515).

Almost surely, 2^72759960 is an apocalyptic number.

72759960 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 72759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145585440).

72759960 is an abundant number, since it is smaller than the sum of its proper divisors (218410920).

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

72759960 is a wasteful number, since it uses less digits than its factorization.

72759960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 72759960 is about 8529.9449001737. The cubic root of 72759960 is about 417.4753305131.

The spelling of 72759960 in words is "seventy-two million, seven hundred fifty-nine thousand, nine hundred sixty".