172987200 has 252 divisors, whose sum is σ = 631982988. Its totient is φ = 44851200.

The previous prime is 172987187. The next prime is 172987201. The reversal of 172987200 is 2789271.

It can be written as a sum of positive squares in 6 ways, for example, as 3779136 + 169208064 = 1944^2 + 13008^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172987201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590254 + ... + 590546.

It is an arithmetic number, because the mean of its divisors is an integer number (2507869).

Almost surely, 2^172987200 is an apocalyptic number.

172987200 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 172987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315991494).

172987200 is an abundant number, since it is smaller than the sum of its proper divisors (458995788).

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

172987200 is a wasteful number, since it uses less digits than its factorization.

172987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

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

The square root of 172987200 is about 13152.4598459756. The cubic root of 172987200 is about 557.1917229611.

It can be divided in two parts, 17298 and 7200, that multiplied together give a square (124545600 = 11160²).

The spelling of 172987200 in words is "one hundred seventy-two million, nine hundred eighty-seven thousand, two hundred".