102572 has 6 divisors (see below), whose sum is σ = 179508. Its totient is φ = 51284.

The previous prime is 102563. The next prime is 102587. The reversal of 102572 is 275201.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 102572.

It is an unprimeable number.

102572 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, 12818 + ... + 12825.

It is an arithmetic number, because the mean of its divisors is an integer number (29918).

2¹⁰²⁵⁷² is an apocalyptic number.

It is an amenable number.

102572 is a deficient number, since it is larger than the sum of its proper divisors (76936).

102572 is a wasteful number, since it uses less digits than its factorization.

102572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25647 (or 25645 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 102572 is about 320.2686372407. The cubic root of 102572 is about 46.8104634846.

Adding to 102572 its reverse (275201), we get a palindrome (377773).

The spelling of 102572 in words is "one hundred two thousand, five hundred seventy-two".