17972136 has 144 divisors (see below), whose sum is σ = 60521760. Its totient is φ = 4717440.

The previous prime is 17972117. The next prime is 17972153. The reversal of 17972136 is 63127971.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 17972136.

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 35 ways as a sum of consecutive naturals, for example, 85071 + ... + 85281.

It is an arithmetic number, because the mean of its divisors is an integer number (420290).

Almost surely, 2^17972136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17972136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260880).

17972136 is an abundant number, since it is smaller than the sum of its proper divisors (42549624).

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

17972136 is a wasteful number, since it uses less digits than its factorization.

17972136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 17972136 is about 4239.3556114108. The cubic root of 17972136 is about 261.9388393261.

The spelling of 17972136 in words is "seventeen million, nine hundred seventy-two thousand, one hundred thirty-six".