172948000 has 48 divisors (see below), whose sum is σ = 424943064. Its totient is φ = 69177600.

The previous prime is 172947991. The next prime is 172948007. The reversal of 172948000 is 849271.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 161086864 = 3444^2 + 12692^2 .

It is a super-2 number, since 2×172948000² = 59822021408000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172948007) 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 7 ways as a sum of consecutive naturals, for example, 17619 + ... + 25618.

Almost surely, 2^172948000 is an apocalyptic number.

172948000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172948000 is an abundant number, since it is smaller than the sum of its proper divisors (251995064).

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

172948000 is an equidigital number, since it uses as much as digits as its factorization.

172948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43262 (or 43244 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 172948000 is about 13150.9695460069. The cubic root of 172948000 is about 557.1496320519.

It can be divided in two parts, 1729 and 48000, that added together give a square (49729 = 223²).

The spelling of 172948000 in words is "one hundred seventy-two million, nine hundred forty-eight thousand".