18253872 has 180 divisors, whose sum is σ = 64318800. Its totient is φ = 4790016.

The previous prime is 18253871. The next prime is 18253877. The reversal of 18253872 is 27835281.

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

Its product of digits (26880) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (18253871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91629 + ... + 91827.

Almost surely, 2^18253872 is an apocalyptic number.

18253872 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 18253872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

18253872 is an abundant number, since it is smaller than the sum of its proper divisors (46064928).

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

18253872 is a wasteful number, since it uses less digits than its factorization.

18253872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 224 counting only the distinct ones).

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

The square root of 18253872 is about 4272.4550319459. The cubic root of 18253872 is about 263.3004897706.

The spelling of 18253872 in words is "eighteen million, two hundred fifty-three thousand, eight hundred seventy-two".