172872738 has 64 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 54743040.

The previous prime is 172872737. The next prime is 172872751. The reversal of 172872738 is 837278271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 172872693 and 172872702.

It is not an unprimeable number, because it can be changed into a prime (172872737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224418 + ... + 225186.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^172872738 is an apocalyptic number.

172872738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172872738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

172872738 is an abundant number, since it is smaller than the sum of its proper divisors (230730462).

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

172872738 is a wasteful number, since it uses less digits than its factorization.

172872738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 172872738 is about 13148.1077726036. The cubic root of 172872738 is about 557.0688018223.

The spelling of 172872738 in words is "one hundred seventy-two million, eight hundred seventy-two thousand, seven hundred thirty-eight".