113672784 has 80 divisors (see below), whose sum is σ = 307281920. Its totient is φ = 36167040.

The previous prime is 113672759. The next prime is 113672789. The reversal of 113672784 is 487276311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113672789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117069 + ... + 118035.

It is an arithmetic number, because the mean of its divisors is an integer number (3841024).

Almost surely, 2^113672784 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 113672784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153640960).

113672784 is an abundant number, since it is smaller than the sum of its proper divisors (193609136).

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

113672784 is a wasteful number, since it uses less digits than its factorization.

113672784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 113672784 is about 10661.7439474037. The cubic root of 113672784 is about 484.4163937098.

It can be divided in two parts, 1136 and 72784, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 113672784 in words is "one hundred thirteen million, six hundred seventy-two thousand, seven hundred eighty-four".