172990080 has 320 divisors, whose sum is σ = 639809280. Its totient is φ = 44513280.

The previous prime is 172990057. The next prime is 172990093. The reversal of 172990080 is 80099271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 2436445 + ... + 2436515.

It is an arithmetic number, because the mean of its divisors is an integer number (1999404).

Almost surely, 2^172990080 is an apocalyptic number.

172990080 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 172990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319904640).

172990080 is an abundant number, since it is smaller than the sum of its proper divisors (466819200).

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

172990080 is an equidigital number, since it uses as much as digits as its factorization.

172990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 172990080 is about 13152.5693307429. The cubic root of 172990080 is about 557.1948151036.

It can be divided in two parts, 1729 and 90080, that added together give a square (91809 = 303²).

The spelling of 172990080 in words is "one hundred seventy-two million, nine hundred ninety thousand, eighty".