162572800 has 120 divisors (see below), whose sum is σ = 434214396. Its totient is φ = 59965440.

The previous prime is 162572743. The next prime is 162572801. The reversal of 162572800 is 8275261.

It can be written as a sum of positive squares in 6 ways, for example, as 69488896 + 93083904 = 8336^2 + 9648^2 .

It is not an unprimeable number, because it can be changed into a prime (162572801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165912 + ... + 166888.

Almost surely, 2^162572800 is an apocalyptic number.

162572800 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 162572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217107198).

162572800 is an abundant number, since it is smaller than the sum of its proper divisors (271641596).

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

162572800 is an equidigital number, since it uses as much as digits as its factorization.

162572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 162572800 is about 12750.4039151707. The cubic root of 162572800 is about 545.7779200329. Note that the first 3 decimals are identical.

It can be divided in two parts, 16 and 2572800, that added together give a square (2572816 = 1604²).

The spelling of 162572800 in words is "one hundred sixty-two million, five hundred seventy-two thousand, eight hundred".