130075632 has 100 divisors (see below), whose sum is σ = 379361136. Its totient is φ = 43027200.

The previous prime is 130075571. The next prime is 130075637. The reversal of 130075632 is 236570031.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 130075596 and 130075605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130075637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 216132 + ... + 216732.

Almost surely, 2^130075632 is an apocalyptic number.

130075632 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 130075632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189680568).

130075632 is an abundant number, since it is smaller than the sum of its proper divisors (249285504).

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

130075632 is a wasteful number, since it uses less digits than its factorization.

130075632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130075632 is about 11405.0704513387. The cubic root of 130075632 is about 506.6779229571.

The spelling of 130075632 in words is "one hundred thirty million, seventy-five thousand, six hundred thirty-two".