172597968 has 60 divisors (see below), whose sum is σ = 486566080. Its totient is φ = 57112128.

The previous prime is 172597961. The next prime is 172597973. The reversal of 172597968 is 869795271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172597961) by changing a digit.

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, 15705 + ... + 24327.

Almost surely, 2^172597968 is an apocalyptic number.

172597968 is a gapful number since it is divisible by the number (18) 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 172597968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243283040).

172597968 is an abundant number, since it is smaller than the sum of its proper divisors (313968112).

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

172597968 is a wasteful number, since it uses less digits than its factorization.

172597968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8767 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The square root of 172597968 is about 13137.6545851990. The cubic root of 172597968 is about 556.7735037431.

The spelling of 172597968 in words is "one hundred seventy-two million, five hundred ninety-seven thousand, nine hundred sixty-eight".