65972 has 6 divisors (see below), whose sum is σ = 115458. Its totient is φ = 32984.

The previous prime is 65963. The next prime is 65981. The reversal of 65972 is 27956.

It is an interprime number because it is at equal distance from previous prime (65963) and next prime (65981).

It can be written as a sum of positive squares in only one way, i.e., 38416 + 27556 = 196^2 + 166^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

65972 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 as a sum of consecutive naturals, namely, 8243 + ... + 8250.

It is an arithmetic number, because the mean of its divisors is an integer number (19243).

2⁶⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

65972 is a deficient number, since it is larger than the sum of its proper divisors (49486).

65972 is a wasteful number, since it uses less digits than its factorization.

65972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16497 (or 16495 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 65972 is about 256.8501508662. The cubic root of 65972 is about 40.4066845130.

The spelling of 65972 in words is "sixty-five thousand, nine hundred seventy-two".