18072288 has 96 divisors (see below), whose sum is σ = 56800800. Its totient is φ = 5557248.

The previous prime is 18072281. The next prime is 18072289. The reversal of 18072288 is 88227081.

It is a tau number, because it is divible by the number of its divisors (96).

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 (18072281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10428 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (591675).

Almost surely, 2^18072288 is an apocalyptic number.

18072288 is a gapful number since it is divisible by the number (18) 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 18072288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28400400).

18072288 is an abundant number, since it is smaller than the sum of its proper divisors (38728512).

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

18072288 is a wasteful number, since it uses less digits than its factorization.

18072288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18072288 is about 4251.1513734517. The cubic root of 18072288 is about 262.4245007362.

It can be divided in two parts, 1807 and 2288, that added together give a triangular number (4095 = T₉₀).

The spelling of 18072288 in words is "eighteen million, seventy-two thousand, two hundred eighty-eight".