18459072 has 84 divisors (see below), whose sum is σ = 53756560. Its totient is φ = 6054912.

The previous prime is 18459071. The next prime is 18459073. The reversal of 18459072 is 27095481.

It is an interprime number because it is at equal distance from previous prime (18459071) and next prime (18459073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18459071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41829 + ... + 42267.

Almost surely, 2^18459072 is an apocalyptic number.

18459072 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 18459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26878280).

18459072 is an abundant number, since it is smaller than the sum of its proper divisors (35297488).

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

18459072 is a wasteful number, since it uses less digits than its factorization.

18459072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 18459072 is about 4296.4022158080. The cubic root of 18459072 is about 264.2834421315.

The spelling of 18459072 in words is "eighteen million, four hundred fifty-nine thousand, seventy-two".