113721624 has 64 divisors (see below), whose sum is σ = 318384000. Its totient is φ = 37608480.

The previous prime is 113721617. The next prime is 113721679. The reversal of 113721624 is 426127311.

113721624 is a `hidden beast` number, since 1 + 1 + 37 + 2 + 1 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26287 + ... + 30305.

It is an arithmetic number, because the mean of its divisors is an integer number (4974750).

Almost surely, 2^113721624 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 113721624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159192000).

113721624 is an abundant number, since it is smaller than the sum of its proper divisors (204662376).

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

113721624 is a wasteful number, since it uses less digits than its factorization.

113721624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4155 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 113721624 is about 10664.0341334788. The cubic root of 113721624 is about 484.4857609710.

Adding to 113721624 its reverse (426127311), we get a palindrome (539848935).

It can be divided in two parts, 11372 and 1624, that added together give a square (12996 = 114²).

The spelling of 113721624 in words is "one hundred thirteen million, seven hundred twenty-one thousand, six hundred twenty-four".