18972672 has 64 divisors (see below), whose sum is σ = 50855160. Its totient is φ = 6291456.

The previous prime is 18972661. The next prime is 18972727. The reversal of 18972672 is 27627981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98208 + ... + 98400.

Almost surely, 2^18972672 is an apocalyptic number.

18972672 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 18972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427580).

18972672 is an abundant number, since it is smaller than the sum of its proper divisors (31882488).

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

18972672 is an frugal number, since it uses more digits than its factorization.

18972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 18972672 is about 4355.7630789564. The cubic root of 18972672 is about 266.7121700128.

The spelling of 18972672 in words is "eighteen million, nine hundred seventy-two thousand, six hundred seventy-two".