107972 has 6 divisors (see below), whose sum is σ = 188958. Its totient is φ = 53984.

The previous prime is 107971. The next prime is 107981. The reversal of 107972 is 279701.

107972 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 65536 + 42436 = 256^2 + 206^2 .

It is not an unprimeable number, because it can be changed into a prime (107971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13493 + ... + 13500.

It is an arithmetic number, because the mean of its divisors is an integer number (31493).

2¹⁰⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

107972 is a deficient number, since it is larger than the sum of its proper divisors (80986).

107972 is a wasteful number, since it uses less digits than its factorization.

107972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26997 (or 26995 counting only the distinct ones).

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

The square root of 107972 is about 328.5909310982. The cubic root of 107972 is about 47.6179157191.

The spelling of 107972 in words is "one hundred seven thousand, nine hundred seventy-two".