172545600 has 168 divisors, whose sum is σ = 573227200. Its totient is φ = 45434880.

The previous prime is 172545557. The next prime is 172545613. The reversal of 172545600 is 6545271.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494226 + ... + 494574.

Almost surely, 2^172545600 is an apocalyptic number.

172545600 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 172545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286613600).

172545600 is an abundant number, since it is smaller than the sum of its proper divisors (400681600).

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

172545600 is a wasteful number, since it uses less digits than its factorization.

172545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 172545600 is about 13135.6613841862. The cubic root of 172545600 is about 556.7171877765.

The spelling of 172545600 in words is "one hundred seventy-two million, five hundred forty-five thousand, six hundred".