172251600 has 180 divisors, whose sum is σ = 583150176. Its totient is φ = 43380480.

The previous prime is 172251571. The next prime is 172251601. The reversal of 172251600 is 6152271.

It is a super-2 number, since 2×172251600² = 59341227405120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172251601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2180361 + ... + 2180439.

Almost surely, 2^172251600 is an apocalyptic number.

172251600 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 172251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291575088).

172251600 is an abundant number, since it is smaller than the sum of its proper divisors (410898576).

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

172251600 is a wasteful number, since it uses less digits than its factorization.

172251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 172251600 is about 13124.4657034106. The cubic root of 172251600 is about 556.4008116939.

The spelling of 172251600 in words is "one hundred seventy-two million, two hundred fifty-one thousand, six hundred".