112737492 has 72 divisors (see below), whose sum is σ = 330325632. Its totient is φ = 31752000.

The previous prime is 112737487. The next prime is 112737533. The reversal of 112737492 is 294737211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14742 + ... + 21042.

It is an arithmetic number, because the mean of its divisors is an integer number (4587856).

Almost surely, 2^112737492 is an apocalyptic number.

112737492 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 112737492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165162816).

112737492 is an abundant number, since it is smaller than the sum of its proper divisors (217588140).

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

112737492 is a wasteful number, since it uses less digits than its factorization.

112737492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6384 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 112737492 is about 10617.7912957451. The cubic root of 112737492 is about 483.0841513293.

The spelling of 112737492 in words is "one hundred twelve million, seven hundred thirty-seven thousand, four hundred ninety-two".