172272016 has 80 divisors (see below), whose sum is σ = 407009664. Its totient is φ = 68954112.

The previous prime is 172271989. The next prime is 172272019. The reversal of 172272016 is 610272271.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (172272019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329131 + ... + 329653.

Almost surely, 2^172272016 is an apocalyptic number.

172272016 is a gapful number since it is divisible by the number (16) 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 172272016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203504832).

172272016 is an abundant number, since it is smaller than the sum of its proper divisors (234737648).

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

172272016 is a wasteful number, since it uses less digits than its factorization.

172272016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 172272016 is about 13125.2434644086. The cubic root of 172272016 is about 556.4227931640.

The spelling of 172272016 in words is "one hundred seventy-two million, two hundred seventy-two thousand, sixteen".