172002072 has 64 divisors (see below), whose sum is σ = 473558400. Its totient is φ = 51626240.

The previous prime is 172002071. The next prime is 172002101. The reversal of 172002072 is 270200271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172002071) 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, 25204 + ... + 31292.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2^172002072 is an apocalyptic number.

172002072 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 172002072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236779200).

172002072 is an abundant number, since it is smaller than the sum of its proper divisors (301556328).

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

172002072 is a wasteful number, since it uses less digits than its factorization.

172002072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 172002072 is about 13114.9560426255. The cubic root of 172002072 is about 556.1320097844.

The spelling of 172002072 in words is "one hundred seventy-two million, two thousand, seventy-two".