55072 has 12 divisors (see below), whose sum is σ = 108486. Its totient is φ = 27520.

The previous prime is 55061. The next prime is 55073. The reversal of 55072 is 27055.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 13456 = 204^2 + 116^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55073) by changing a digit.

55072 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, 829 + ... + 892.

2⁵⁵⁰⁷² is an apocalyptic number.

It is an amenable number.

55072 is a deficient number, since it is larger than the sum of its proper divisors (53414).

55072 is a wasteful number, since it uses less digits than its factorization.

55072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 55072 is about 234.6742423020. The cubic root of 55072 is about 38.0461120732.

The spelling of 55072 in words is "fifty-five thousand, seventy-two".