130572800 has 90 divisors (see below), whose sum is σ = 326739039. Its totient is φ = 51712000.

The previous prime is 130572787. The next prime is 130572833. The reversal of 130572800 is 8275031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 115949824 + 14622976 = 10768^2 + 3824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8080.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130572800.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1292750 + ... + 1292850.

Almost surely, 2^130572800 is an apocalyptic number.

130572800 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 130572800

130572800 is an abundant number, since it is smaller than the sum of its proper divisors (196166239).

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

130572800 is an frugal number, since it uses more digits than its factorization.

130572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 130572800 is about 11426.8455839746. The cubic root of 130572800 is about 507.3226345183.

The spelling of 130572800 in words is "one hundred thirty million, five hundred seventy-two thousand, eight hundred".