172072320 has 384 divisors, whose sum is σ = 669772800. Its totient is φ = 37416960.

The previous prime is 172072319. The next prime is 172072331. The reversal of 172072320 is 23270271.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2916451 + ... + 2916509.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2^172072320 is an apocalyptic number.

172072320 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 172072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

172072320 is an abundant number, since it is smaller than the sum of its proper divisors (497700480).

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

172072320 is a wasteful number, since it uses less digits than its factorization.

172072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 172072320 is about 13117.6339329926. The cubic root of 172072320 is about 556.2077101208.

The spelling of 172072320 in words is "one hundred seventy-two million, seventy-two thousand, three hundred twenty".