112762624 has 72 divisors (see below), whose sum is σ = 250447232. Its totient is φ = 50319360.

The previous prime is 112762621. The next prime is 112762651. The reversal of 112762624 is 426267211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112762621) 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, 102622 + ... + 103714.

Almost surely, 2^112762624 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 112762624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125223616).

112762624 is an abundant number, since it is smaller than the sum of its proper divisors (137684608).

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

112762624 is a wasteful number, since it uses less digits than its factorization.

112762624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 112762624 is about 10618.9747151031. The cubic root of 112762624 is about 483.1200458326.

The spelling of 112762624 in words is "one hundred twelve million, seven hundred sixty-two thousand, six hundred twenty-four".