60972 has 12 divisors (see below), whose sum is σ = 142296. Its totient is φ = 20320.

The previous prime is 60961. The next prime is 61001. The reversal of 60972 is 27906.

It is a tau number, because it is divible by the number of its divisors (12).

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, 2529 + ... + 2552.

It is an arithmetic number, because the mean of its divisors is an integer number (11858).

2⁶⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

60972 is an abundant number, since it is smaller than the sum of its proper divisors (81324).

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 (71148).

60972 is a wasteful number, since it uses less digits than its factorization.

60972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 60972 is about 246.9250898552. The cubic root of 60972 is about 39.3589478534.

The spelling of 60972 in words is "sixty thousand, nine hundred seventy-two".