18872352 has 84 divisors (see below), whose sum is σ = 55775790. Its totient is φ = 6283008.

The previous prime is 18872317. The next prime is 18872407. The reversal of 18872352 is 25327881.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 6170256 = 3564^2 + 2484^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22924 + ... + 23732.

Almost surely, 2^18872352 is an apocalyptic number.

18872352 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 18872352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27887895).

18872352 is an abundant number, since it is smaller than the sum of its proper divisors (36903438).

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

18872352 is an frugal number, since it uses more digits than its factorization.

18872352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 814 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 18872352 is about 4344.2320380017. The cubic root of 18872352 is about 266.2412494644.

The spelling of 18872352 in words is "eighteen million, eight hundred seventy-two thousand, three hundred fifty-two".