172315416 has 128 divisors (see below), whose sum is σ = 533998080. Its totient is φ = 45121536.

The previous prime is 172315411. The next prime is 172315421. The reversal of 172315416 is 614513271.

It is an interprime number because it is at equal distance from previous prime (172315411) and next prime (172315421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172315411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561135 + ... + 561441.

It is an arithmetic number, because the mean of its divisors is an integer number (4171860).

Almost surely, 2^172315416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172315416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266999040).

172315416 is an abundant number, since it is smaller than the sum of its proper divisors (361682664).

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

172315416 is a wasteful number, since it uses less digits than its factorization.

172315416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 172315416 is about 13126.8966629588. The cubic root of 172315416 is about 556.4695152457.

Adding to 172315416 its reverse (614513271), we get a palindrome (786828687).

The spelling of 172315416 in words is "one hundred seventy-two million, three hundred fifteen thousand, four hundred sixteen".