17979072 has 56 divisors (see below), whose sum is σ = 49225200. Its totient is φ = 5784576.

The previous prime is 17979067. The next prime is 17979107. The reversal of 17979072 is 27097971.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3954 + ... + 7182.

Almost surely, 2^17979072 is an apocalyptic number.

17979072 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 17979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24612600).

17979072 is an abundant number, since it is smaller than the sum of its proper divisors (31246128).

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

17979072 is a wasteful number, since it uses less digits than its factorization.

17979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 42.

The square root of 17979072 is about 4240.1735813525. The cubic root of 17979072 is about 261.9725317434.

The spelling of 17979072 in words is "seventeen million, nine hundred seventy-nine thousand, seventy-two".