172540368 has 600 divisors, whose sum is σ = 718391520. Its totient is φ = 39191040.

The previous prime is 172540321. The next prime is 172540369. The reversal of 172540368 is 863045271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172540369) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9081063 + ... + 9081081.

Almost surely, 2^172540368 is an apocalyptic number.

172540368 is a gapful number since it is divisible by the number (18) 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 172540368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359195760).

172540368 is an abundant number, since it is smaller than the sum of its proper divisors (545851152).

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

172540368 is a wasteful number, since it uses less digits than its factorization.

172540368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 172540368 is about 13135.4622301615. The cubic root of 172540368 is about 556.7115607157.

The spelling of 172540368 in words is "one hundred seventy-two million, five hundred forty thousand, three hundred sixty-eight".