172971600 has 240 divisors, whose sum is σ = 600586560. Its totient is φ = 42393600.

The previous prime is 172971593. The next prime is 172971607. The reversal of 172971600 is 6179271.

It is an interprime number because it is at equal distance from previous prime (172971593) and next prime (172971607).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172971607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244331 + ... + 1244469.

It is an arithmetic number, because the mean of its divisors is an integer number (2502444).

Almost surely, 2^172971600 is an apocalyptic number.

172971600 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 172971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300293280).

172971600 is an abundant number, since it is smaller than the sum of its proper divisors (427614960).

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

172971600 is a wasteful number, since it uses less digits than its factorization.

172971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 172971600 is about 13151.8667876465. The cubic root of 172971600 is about 557.1749732590.

The spelling of 172971600 in words is "one hundred seventy-two million, nine hundred seventy-one thousand, six hundred".