172874260 has 48 divisors (see below), whose sum is σ = 392320656. Its totient is φ = 63608832.

The previous prime is 172874257. The next prime is 172874263. The reversal of 172874260 is 62478271.

It is an interprime number because it is at equal distance from previous prime (172874257) and next prime (172874263).

It can be written as a sum of positive squares in 8 ways, for example, as 45319824 + 127554436 = 6732^2 + 11294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172874263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86634 + ... + 88606.

It is an arithmetic number, because the mean of its divisors is an integer number (8173347).

Almost surely, 2^172874260 is an apocalyptic number.

172874260 is a gapful number since it is divisible by the number (10) 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 172874260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196160328).

172874260 is an abundant number, since it is smaller than the sum of its proper divisors (219446396).

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

172874260 is a wasteful number, since it uses less digits than its factorization.

172874260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 172874260 is about 13148.1656515272. The cubic root of 172874260 is about 557.0704366592.

The spelling of 172874260 in words is "one hundred seventy-two million, eight hundred seventy-four thousand, two hundred sixty".