117572 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 41472.

The previous prime is 117571. The next prime is 117577. The reversal of 117572 is 275711.

It is a happy number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (117571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6179 + ... + 6197.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

117572 is a Friedman number, since it can be written as 7*(7^5-12+1), using all its digits and the basic arithmetic operations.

2¹¹⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

117572 is an abundant number, since it is smaller than the sum of its proper divisors (164668).

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

117572 is a wasteful number, since it uses less digits than its factorization.

117572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 58 counting only the distinct ones).

The product of its digits is 490, while the sum is 23.

The square root of 117572 is about 342.8877367303. The cubic root of 117572 is about 48.9893076767.

The spelling of 117572 in words is "one hundred seventeen thousand, five hundred seventy-two".