18477072 has 100 divisors (see below), whose sum is σ = 54689580. Its totient is φ = 6020352.

The previous prime is 18477061. The next prime is 18477077. The reversal of 18477072 is 27077481.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 11943936 = 2556^2 + 3456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (18477077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68554 + ... + 68822.

Almost surely, 2^18477072 is an apocalyptic number.

18477072 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 18477072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27344790).

18477072 is an abundant number, since it is smaller than the sum of its proper divisors (36212508).

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

18477072 is a wasteful number, since it uses less digits than its factorization.

18477072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 18477072 is about 4298.4964813293. The cubic root of 18477072 is about 264.3693178196.

The spelling of 18477072 in words is "eighteen million, four hundred seventy-seven thousand, seventy-two".