130752672 has 96 divisors (see below), whose sum is σ = 356457024. Its totient is φ = 41932800.

The previous prime is 130752653. The next prime is 130752703. The reversal of 130752672 is 276257031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×130752672² = 34192522470279168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465172 + ... + 465452.

It is an arithmetic number, because the mean of its divisors is an integer number (3713094).

Almost surely, 2^130752672 is an apocalyptic number.

130752672 is a gapful number since it is divisible by the number (12) 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 130752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178228512).

130752672 is an abundant number, since it is smaller than the sum of its proper divisors (225704352).

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

130752672 is a wasteful number, since it uses less digits than its factorization.

130752672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 130752672 is about 11434.7134638346. The cubic root of 130752672 is about 507.5554835923. Note that the first 3 decimals are identical.

The spelling of 130752672 in words is "one hundred thirty million, seven hundred fifty-two thousand, six hundred seventy-two".