130072782 has 64 divisors (see below), whose sum is σ = 306561024. Its totient is φ = 36023520.

The previous prime is 130072777. The next prime is 130072799. The reversal of 130072782 is 287270031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258343 + ... + 258845.

It is an arithmetic number, because the mean of its divisors is an integer number (4790016).

Almost surely, 2^130072782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130072782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153280512).

130072782 is an abundant number, since it is smaller than the sum of its proper divisors (176488242).

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

130072782 is a wasteful number, since it uses less digits than its factorization.

130072782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 130072782 is about 11404.9455062267. The cubic root of 130072782 is about 506.6742224366.

The spelling of 130072782 in words is "one hundred thirty million, seventy-two thousand, seven hundred eighty-two".