172729920 has 168 divisors, whose sum is σ = 603211392. Its totient is φ = 41845760.

The previous prime is 172729903. The next prime is 172729951. The reversal of 172729920 is 29927271.

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, 115417 + ... + 116903.

It is an arithmetic number, because the mean of its divisors is an integer number (3590544).

Almost surely, 2^172729920 is an apocalyptic number.

172729920 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 172729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301605696).

172729920 is an abundant number, since it is smaller than the sum of its proper divisors (430481472).

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

172729920 is a wasteful number, since it uses less digits than its factorization.

172729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 172729920 is about 13142.6755266955. The cubic root of 172729920 is about 556.9153529667.

The spelling of 172729920 in words is "one hundred seventy-two million, seven hundred twenty-nine thousand, nine hundred twenty".