18531072 has 144 divisors (see below), whose sum is σ = 62791680. Its totient is φ = 5280768.

The previous prime is 18531067. The next prime is 18531083. The reversal of 18531072 is 27013581.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 48193 + ... + 48575.

Almost surely, 2^18531072 is an apocalyptic number.

18531072 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 18531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395840).

18531072 is an abundant number, since it is smaller than the sum of its proper divisors (44260608).

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

18531072 is an equidigital number, since it uses as much as digits as its factorization.

18531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 18531072 is about 4304.7731647556. The cubic root of 18531072 is about 264.6266107204.

The spelling of 18531072 in words is "eighteen million, five hundred thirty-one thousand, seventy-two".