172729872 has 120 divisors (see below), whose sum is σ = 555172800. Its totient is φ = 49109760.

The previous prime is 172729871. The next prime is 172729901. The reversal of 172729872 is 278927271.

It is a super-2 number, since 2×172729872² = 59671217362272768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (172729871) 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 23 ways as a sum of consecutive naturals, for example, 351547 + ... + 352037.

It is an arithmetic number, because the mean of its divisors is an integer number (4626440).

Almost surely, 2^172729872 is an apocalyptic number.

172729872 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 172729872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277586400).

172729872 is an abundant number, since it is smaller than the sum of its proper divisors (382442928).

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

172729872 is a wasteful number, since it uses less digits than its factorization.

172729872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 172729872 is about 13142.6737005832. The cubic root of 172729872 is about 556.9153013795.

The spelling of 172729872 in words is "one hundred seventy-two million, seven hundred twenty-nine thousand, eight hundred seventy-two".