17019972 has 72 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 5306688.

The previous prime is 17019949. The next prime is 17019979. The reversal of 17019972 is 27991071.

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 (17019979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101833 + ... + 101999.

It is an arithmetic number, because the mean of its divisors is an integer number (637000).

Almost surely, 2^17019972 is an apocalyptic number.

17019972 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 17019972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

17019972 is an abundant number, since it is smaller than the sum of its proper divisors (28844028).

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

17019972 is a wasteful number, since it uses less digits than its factorization.

17019972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 17019972 is about 4125.5268754427. The cubic root of 17019972 is about 257.2288130630.

The spelling of 17019972 in words is "seventeen million, nineteen thousand, nine hundred seventy-two".