112673736 has 144 divisors (see below), whose sum is σ = 359459100. Its totient is φ = 31788288.

The previous prime is 112673723. The next prime is 112673741. The reversal of 112673736 is 637376211.

It can be written as a sum of positive squares in 2 ways, for example, as 97416900 + 15256836 = 9870^2 + 3906^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 112673736.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384406 + ... + 384698.

Almost surely, 2^112673736 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 112673736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179729550).

112673736 is an abundant number, since it is smaller than the sum of its proper divisors (246785364).

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

112673736 is a wasteful number, since it uses less digits than its factorization.

112673736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 414 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 112673736 is about 10614.7885518271. The cubic root of 112673736 is about 482.9930685836.

The spelling of 112673736 in words is "one hundred twelve million, six hundred seventy-three thousand, seven hundred thirty-six".