172989600 has 216 divisors, whose sum is σ = 655458048. Its totient is φ = 39513600.

The previous prime is 172989587. The next prime is 172989613. The reversal of 172989600 is 6989271.

It is an interprime number because it is at equal distance from previous prime (172989587) and next prime (172989613).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 116865 + ... + 118335.

It is an arithmetic number, because the mean of its divisors is an integer number (3034528).

Almost surely, 2^172989600 is an apocalyptic number.

172989600 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 172989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327729024).

172989600 is an abundant number, since it is smaller than the sum of its proper divisors (482468448).

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

172989600 is a wasteful number, since it uses less digits than its factorization.

172989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 172989600 is about 13152.5510833450. The cubic root of 172989600 is about 557.1942997489.

The spelling of 172989600 in words is "one hundred seventy-two million, nine hundred eighty-nine thousand, six hundred".