71972 has 12 divisors (see below), whose sum is σ = 132720. Its totient is φ = 34056.

The previous prime is 71971. The next prime is 71983. The reversal of 71972 is 27917.

It is not an unprimeable number, because it can be changed into a prime (71971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (11060).

2⁷¹⁹⁷² is an apocalyptic number.

It is an amenable number.

71972 is a deficient number, since it is larger than the sum of its proper divisors (60748).

71972 is a wasteful number, since it uses less digits than its factorization.

71972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its digits is 882, while the sum is 26.

The square root of 71972 is about 268.2759773070. The cubic root of 71972 is about 41.5962829519.

The spelling of 71972 in words is "seventy-one thousand, nine hundred seventy-two".