172120416 has 108 divisors (see below), whose sum is σ = 494040708. Its totient is φ = 52445952.

The previous prime is 172120409. The next prime is 172120447. The reversal of 172120416 is 614021271.

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 17 ways as a sum of consecutive naturals, for example, 1671021 + ... + 1671123.

It is an arithmetic number, because the mean of its divisors is an integer number (4574451).

Almost surely, 2^172120416 is an apocalyptic number.

172120416 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 172120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247020354).

172120416 is an abundant number, since it is smaller than the sum of its proper divisors (321920292).

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

172120416 is a wasteful number, since it uses less digits than its factorization.

172120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 172120416 is about 13119.4670623467. The cubic root of 172120416 is about 556.2595272366.

Multiplying 172120416 by its sum of digits (24), we get a square (4130889984 = 64272²).

172120416 divided by its sum of digits (24) gives a square (7171684 = 2678²).

Adding to 172120416 its reverse (614021271), we get a palindrome (786141687).

The spelling of 172120416 in words is "one hundred seventy-two million, one hundred twenty thousand, four hundred sixteen".