17972130 has 48 divisors (see below), whose sum is σ = 47420352. Its totient is φ = 4356000.

The previous prime is 17972117. The next prime is 17972153. The reversal of 17972130 is 3127971.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 1155 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (987924).

Almost surely, 2^17972130 is an apocalyptic number.

17972130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17972130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710176).

17972130 is an abundant number, since it is smaller than the sum of its proper divisors (29448222).

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

17972130 is a wasteful number, since it uses less digits than its factorization.

17972130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 17972130 is about 4239.3549037560. The cubic root of 17972130 is about 261.9388101766.

The spelling of 17972130 in words is "seventeen million, nine hundred seventy-two thousand, one hundred thirty".