130772640 has 96 divisors (see below), whose sum is σ = 415751616. Its totient is φ = 34549760.

The previous prime is 130772627. The next prime is 130772647. The reversal of 130772640 is 46277031.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130772598 and 130772607.

It is not an unprimeable number, because it can be changed into a prime (130772647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53035 + ... + 55445.

It is an arithmetic number, because the mean of its divisors is an integer number (4330746).

Almost surely, 2^130772640 is an apocalyptic number.

130772640 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 130772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207875808).

130772640 is an abundant number, since it is smaller than the sum of its proper divisors (284978976).

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

130772640 is a wasteful number, since it uses less digits than its factorization.

130772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 130772640 is about 11435.5865612569. The cubic root of 130772640 is about 507.5813195258.

The spelling of 130772640 in words is "one hundred thirty million, seven hundred seventy-two thousand, six hundred forty".