93672 has 24 divisors (see below), whose sum is σ = 253890. Its totient is φ = 31200.

The previous prime is 93637. The next prime is 93683. The reversal of 93672 is 27639.

93672 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 36 = 306^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 936 and 72 contains 93672 itself.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579 + ... + 722.

2⁹³⁶⁷² is an apocalyptic number.

It is an amenable number.

93672 is an abundant number, since it is smaller than the sum of its proper divisors (160218).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

93672 is a wasteful number, since it uses less digits than its factorization.

93672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1306 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 93672 is about 306.0588178766. The cubic root of 93672 is about 45.4154126224.

The spelling of 93672 in words is "ninety-three thousand, six hundred seventy-two".