96872 has 8 divisors (see below), whose sum is σ = 181650. Its totient is φ = 48432.

The previous prime is 96857. The next prime is 96893. The reversal of 96872 is 27869.

96872 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 45796 = 226^2 + 214^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6047 + ... + 6062.

2⁹⁶⁸⁷² is an apocalyptic number.

It is an amenable number.

96872 is a deficient number, since it is larger than the sum of its proper divisors (84778).

96872 is a wasteful number, since it uses less digits than its factorization.

96872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12111 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 96872 is about 311.2426705964. The cubic root of 96872 is about 45.9267896576.

It can be divided in two parts, 968 and 72, that multiplied together give a palindrome (69696).

The spelling of 96872 in words is "ninety-six thousand, eight hundred seventy-two".