172872416 has 48 divisors (see below), whose sum is σ = 357273504. Its totient is φ = 82182144.

The previous prime is 172872409. The next prime is 172872449. The reversal of 172872416 is 614278271.

It is a self number, because there is not a number n which added to its sum of digits gives 172872416.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 141440 + ... + 142656.

It is an arithmetic number, because the mean of its divisors is an integer number (7443198).

Almost surely, 2^172872416 is an apocalyptic number.

172872416 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 172872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178636752).

172872416 is an abundant number, since it is smaller than the sum of its proper divisors (184401088).

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

172872416 is a wasteful number, since it uses less digits than its factorization.

172872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 172872416 is about 13148.0955274899. The cubic root of 172872416 is about 557.0684559488.

The spelling of 172872416 in words is "one hundred seventy-two million, eight hundred seventy-two thousand, four hundred sixteen".