107572 has 6 divisors (see below), whose sum is σ = 188258. Its totient is φ = 53784.

The previous prime is 107563. The next prime is 107581. The reversal of 107572 is 275701.

It is an interprime number because it is at equal distance from previous prime (107563) and next prime (107581).

It can be written as a sum of positive squares in only one way, i.e., 106276 + 1296 = 326^2 + 36^2 .

It is a congruent number.

It is an unprimeable number.

107572 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, 13443 + ... + 13450.

2¹⁰⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

107572 is a deficient number, since it is larger than the sum of its proper divisors (80686).

107572 is a wasteful number, since it uses less digits than its factorization.

107572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26897 (or 26895 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 107572 is about 327.9817068069. The cubic root of 107572 is about 47.5590401590.

The spelling of 107572 in words is "one hundred seven thousand, five hundred seventy-two".