72560 has 20 divisors (see below), whose sum is σ = 168888. Its totient is φ = 28992.

The previous prime is 72559. The next prime is 72577. The reversal of 72560 is 6527.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374 + ... + 533.

2⁷²⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

72560 is an abundant number, since it is smaller than the sum of its proper divisors (96328).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84444).

72560 is a wasteful number, since it uses less digits than its factorization.

72560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72560 is about 269.3696345173. The cubic root of 72560 is about 41.7092542341.

The spelling of 72560 in words is "seventy-two thousand, five hundred sixty".