101572 has 12 divisors (see below), whose sum is σ = 180880. Its totient is φ = 49896.

The previous prime is 101561. The next prime is 101573. The reversal of 101572 is 275101.

It is not an unprimeable number, because it can be changed into a prime (101573) by changing a digit.

101572 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 in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 457.

2¹⁰¹⁵⁷² is an apocalyptic number.

It is an amenable number.

101572 is a deficient number, since it is larger than the sum of its proper divisors (79308).

101572 is a wasteful number, since it uses less digits than its factorization.

101572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 101572 is about 318.7036240773. The cubic root of 101572 is about 46.6578441372.

Adding to 101572 its reverse (275101), we get a palindrome (376673).

The spelling of 101572 in words is "one hundred one thousand, five hundred seventy-two".