130095072 has 120 divisors (see below), whose sum is σ = 390236616. Its totient is φ = 42501888.

The previous prime is 130095047. The next prime is 130095083. The reversal of 130095072 is 270590031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 136903 + ... + 137849.

Almost surely, 2^130095072 is an apocalyptic number.

130095072 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 130095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195118308).

130095072 is an abundant number, since it is smaller than the sum of its proper divisors (260141544).

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

130095072 is an equidigital number, since it uses as much as digits as its factorization.

130095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130095072 is about 11405.9226720156. The cubic root of 130095072 is about 506.7031629604.

It can be divided in two parts, 13009 and 5072, that added together give a palindrome (18081).

The spelling of 130095072 in words is "one hundred thirty million, ninety-five thousand, seventy-two".