120372432 has 80 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 37983616.

The previous prime is 120372407. The next prime is 120372457. The reversal of 120372432 is 234273021.

It is an interprime number because it is at equal distance from previous prime (120372407) and next prime (120372457).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117619 + ... + 118637.

It is an arithmetic number, because the mean of its divisors is an integer number (4097952).

Almost surely, 2^120372432 is an apocalyptic number.

120372432 is a gapful number since it is divisible by the number (12) 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 120372432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

120372432 is an abundant number, since it is smaller than the sum of its proper divisors (207463728).

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

120372432 is a wasteful number, since it uses less digits than its factorization.

120372432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 120372432 is about 10971.4370982110. The cubic root of 120372432 is about 493.7521635968.

The spelling of 120372432 in words is "one hundred twenty million, three hundred seventy-two thousand, four hundred thirty-two".