86672 has 10 divisors (see below), whose sum is σ = 167958. Its totient is φ = 43328.

The previous prime is 86629. The next prime is 86677. The reversal of 86672 is 27668.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 30976 = 236^2 + 176^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86672.

It is not an unprimeable number, because it can be changed into a prime (86677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2693 + ... + 2724.

2⁸⁶⁶⁷² is an apocalyptic number.

It is an amenable number.

86672 is a deficient number, since it is larger than the sum of its proper divisors (81286).

86672 is a wasteful number, since it uses less digits than its factorization.

86672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5419 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 86672 is about 294.4010869545. The cubic root of 86672 is about 44.2547208940.

The spelling of 86672 in words is "eighty-six thousand, six hundred seventy-two".