172420272 has 80 divisors (see below), whose sum is σ = 497155680. Its totient is φ = 57212928.

The previous prime is 172420271. The next prime is 172420327. The reversal of 172420272 is 272024271.

172420272 is a `hidden beast` number, since 172 + 420 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (172420271) 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, 110248 + ... + 111800.

It is an arithmetic number, because the mean of its divisors is an integer number (6214446).

Almost surely, 2^172420272 is an apocalyptic number.

172420272 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 172420272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248577840).

172420272 is an abundant number, since it is smaller than the sum of its proper divisors (324735408).

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

172420272 is a wasteful number, since it uses less digits than its factorization.

172420272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 172420272 is about 13130.8899926852. The cubic root of 172420272 is about 556.5823651528.

The spelling of 172420272 in words is "one hundred seventy-two million, four hundred twenty thousand, two hundred seventy-two".