130797072 has 240 divisors, whose sum is σ = 451221120. Its totient is φ = 36142848.

The previous prime is 130797071. The next prime is 130797089. The reversal of 130797072 is 270797031.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (130797071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783133 + ... + 783299.

It is an arithmetic number, because the mean of its divisors is an integer number (1880088).

Almost surely, 2^130797072 is an apocalyptic number.

130797072 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 130797072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

130797072 is an abundant number, since it is smaller than the sum of its proper divisors (320424048).

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

130797072 is a wasteful number, since it uses less digits than its factorization.

130797072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 130797072 is about 11436.6547556530. The cubic root of 130797072 is about 507.6129277037.

The spelling of 130797072 in words is "one hundred thirty million, seven hundred ninety-seven thousand, seventy-two".