18072972 has 36 divisors (see below), whose sum is σ = 48373416. Its totient is φ = 5669760.

The previous prime is 18072961. The next prime is 18072991. The reversal of 18072972 is 27927081.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14154 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (1343706).

Almost surely, 2^18072972 is an apocalyptic number.

18072972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18072972 is an abundant number, since it is smaller than the sum of its proper divisors (30300444).

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

18072972 is a wasteful number, since it uses less digits than its factorization.

18072972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 29553 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 18072972 is about 4251.2318214842. The cubic root of 18072972 is about 262.4278114422.

It can be divided in two parts, 18072 and 972, that added together give a square (19044 = 138²).

The spelling of 18072972 in words is "eighteen million, seventy-two thousand, nine hundred seventy-two".