100572 has 36 divisors (see below), whose sum is σ = 257880. Its totient is φ = 30464.

The previous prime is 100559. The next prime is 100591. The reversal of 100572 is 275001.

It is a happy number.

It is a super-2 number, since 2×100572² = 20229454368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

100572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3454 + ... + 3482.

2¹⁰⁰⁵⁷² is an apocalyptic number.

100572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128940).

100572 is an abundant number, since it is smaller than the sum of its proper divisors (157308).

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

100572 is a wasteful number, since it uses less digits than its factorization.

100572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

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

The square root of 100572 is about 317.1308878050. The cubic root of 100572 is about 46.5042197581.

Adding to 100572 its reverse (275001), we get a palindrome (375573).

The spelling of 100572 in words is "one hundred thousand, five hundred seventy-two".