117972624 has 160 divisors (see below), whose sum is σ = 387118080. Its totient is φ = 30067200.

The previous prime is 117972623. The next prime is 117972643. The reversal of 117972624 is 426279711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117972623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217794 + ... + 218334.

It is an arithmetic number, because the mean of its divisors is an integer number (2419488).

Almost surely, 2^117972624 is an apocalyptic number.

117972624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117972624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193559040).

117972624 is an abundant number, since it is smaller than the sum of its proper divisors (269145456).

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

117972624 is a wasteful number, since it uses less digits than its factorization.

117972624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 117972624 is about 10861.5203355700. The cubic root of 117972624 is about 490.4488792385.

The spelling of 117972624 in words is "one hundred seventeen million, nine hundred seventy-two thousand, six hundred twenty-four".