113772 has 24 divisors (see below), whose sum is σ = 280000. Its totient is φ = 35856.

The previous prime is 113761. The next prime is 113777. The reversal of 113772 is 277311.

It is not an unprimeable number, because it can be changed into a prime (113777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 477.

2¹¹³⁷⁷² is an apocalyptic number.

113772 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 113772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140000).

113772 is an abundant number, since it is smaller than the sum of its proper divisors (166228).

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

113772 is a wasteful number, since it uses less digits than its factorization.

113772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 294, while the sum is 21.

The square root of 113772 is about 337.3010524739. The cubic root of 113772 is about 48.4557289003.

The spelling of 113772 in words is "one hundred thirteen thousand, seven hundred seventy-two".