172972800 has 864 divisors, whose sum is σ = 851612160. Its totient is φ = 33177600.

The previous prime is 172972783. The next prime is 172972801. The reversal of 172972800 is 8279271.

It is a tau number, because it is divible by the number of its divisors (864).

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 (172972801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305594 + ... + 13305606.

Almost surely, 2^172972800 is an apocalyptic number.

172972800 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 172972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425806080).

172972800 is an abundant number, since it is smaller than the sum of its proper divisors (678639360).

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

172972800 is a wasteful number, since it uses less digits than its factorization.

172972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 172972800 is about 13151.9124084674. The cubic root of 172972800 is about 557.1762617334.

It can be divided in two parts, 1729 and 72800, that added together give a square (74529 = 273²).

The spelling of 172972800 in words is "one hundred seventy-two million, nine hundred seventy-two thousand, eight hundred".