172724112 has 180 divisors, whose sum is σ = 555714432. Its totient is φ = 49948800.

The previous prime is 172724053. The next prime is 172724119. The reversal of 172724112 is 211427271.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (172724119) 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 35 ways as a sum of consecutive naturals, for example, 400537 + ... + 400967.

Almost surely, 2^172724112 is an apocalyptic number.

172724112 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 172724112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

172724112 is an abundant number, since it is smaller than the sum of its proper divisors (382990320).

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

172724112 is a wasteful number, since it uses less digits than its factorization.

172724112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 470 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 172724112 is about 13142.4545652629. The cubic root of 172724112 is about 556.9091108506.

The spelling of 172724112 in words is "one hundred seventy-two million, seven hundred twenty-four thousand, one hundred twelve".