112765464 has 72 divisors (see below), whose sum is σ = 355279860. Its totient is φ = 32217696.

The previous prime is 112765463. The next prime is 112765483. The reversal of 112765464 is 464567211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112765464² = 25432099742270592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112765463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12454 + ... + 19509.

Almost surely, 2^112765464 is an apocalyptic number.

112765464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112765464 is an abundant number, since it is smaller than the sum of its proper divisors (242514396).

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

112765464 is a wasteful number, since it uses less digits than its factorization.

112765464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31989 (or 31975 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 112765464 is about 10619.1084371523. The cubic root of 112765464 is about 483.1241016960.

The spelling of 112765464 in words is "one hundred twelve million, seven hundred sixty-five thousand, four hundred sixty-four".