61572 has 24 divisors (see below), whose sum is σ = 164416. Its totient is φ = 17568.

The previous prime is 61561. The next prime is 61583. The reversal of 61572 is 27516.

It is an interprime number because it is at equal distance from previous prime (61561) and next prime (61583).

It is a super-2 number, since 2×61572² = 7582222368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 450.

2⁶¹⁵⁷² is an apocalyptic number.

It is an amenable number.

61572 is an abundant number, since it is smaller than the sum of its proper divisors (102844).

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 (82208).

61572 is a wasteful number, since it uses less digits than its factorization.

61572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 61572 is about 248.1370589009. The cubic root of 61572 is about 39.4876316561.

The spelling of 61572 in words is "sixty-one thousand, five hundred seventy-two".