130072707072 has 504 divisors, whose sum is σ = 471104000640. Its totient is φ = 33596375040.

The previous prime is 130072707043. The next prime is 130072707073. The reversal of 130072707072 is 270707270031.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130072707073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726663079 + ... + 726663257.

It is an arithmetic number, because the mean of its divisors is an integer number (934730160).

Almost surely, 2^130072707072 is an apocalyptic number.

130072707072 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 130072707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235552000320).

130072707072 is an abundant number, since it is smaller than the sum of its proper divisors (341031293568).

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

130072707072 is an frugal number, since it uses more digits than its factorization.

130072707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 130072707072 in words is "one hundred thirty billion, seventy-two million, seven hundred seven thousand, seventy-two".