10572 has 12 divisors (see below), whose sum is σ = 24696. Its totient is φ = 3520.

The previous prime is 10567. The next prime is 10589. The reversal of 10572 is 27501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10572² = 223534368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 429 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (2058).

2¹⁰⁵⁷² is an apocalyptic number.

10572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10572 is an abundant number, since it is smaller than the sum of its proper divisors (14124).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348).

10572 is a wasteful number, since it uses less digits than its factorization.

10572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 10572 is about 102.8202314722. The cubic root of 10572 is about 21.9475333768.

The spelling of 10572 in words is "ten thousand, five hundred seventy-two".