18417672 has 128 divisors (see below), whose sum is σ = 63033600. Its totient is φ = 4852224.

The previous prime is 18417671. The next prime is 18417691. The reversal of 18417672 is 27671481.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18417671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19188 + ... + 20124.

It is an arithmetic number, because the mean of its divisors is an integer number (492450).

Almost surely, 2^18417672 is an apocalyptic number.

18417672 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 18417672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31516800).

18417672 is an abundant number, since it is smaller than the sum of its proper divisors (44615928).

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

18417672 is a wasteful number, since it uses less digits than its factorization.

18417672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 18417672 is about 4291.5815266636. The cubic root of 18417672 is about 264.0857159682.

The spelling of 18417672 in words is "eighteen million, four hundred seventeen thousand, six hundred seventy-two".