53672 has 8 divisors (see below), whose sum is σ = 100650. Its totient is φ = 26832.

The previous prime is 53657. The next prime is 53681. The reversal of 53672 is 27635.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 11236 = 206^2 + 106^2 .

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

It is an unprimeable number.

53672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3347 + ... + 3362.

2⁵³⁶⁷² is an apocalyptic number.

It is an amenable number.

53672 is a deficient number, since it is larger than the sum of its proper divisors (46978).

53672 is a wasteful number, since it uses less digits than its factorization.

53672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6711 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 53672 is about 231.6721821885. The cubic root of 53672 is about 37.7209474873.

The spelling of 53672 in words is "fifty-three thousand, six hundred seventy-two".