76972 has 12 divisors (see below), whose sum is σ = 154000. Its totient is φ = 32976.

The previous prime is 76963. The next prime is 76991. The reversal of 76972 is 27967.

It is a happy number.

76972 is an admirable number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

76972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1347 + ... + 1402.

2⁷⁶⁹⁷² is an apocalyptic number.

It is an amenable number.

76972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (77000).

76972 is a wasteful number, since it uses less digits than its factorization.

76972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2758 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 76972 is about 277.4382814249. The cubic root of 76972 is about 42.5380512734.

It can be divided in two parts, 769 and 72, that added together give a square (841 = 29²).

The spelling of 76972 in words is "seventy-six thousand, nine hundred seventy-two".