72800130 has 96 divisors (see below), whose sum is σ = 192580416. Its totient is φ = 17601792.

The previous prime is 72800113. The next prime is 72800141. The reversal of 72800130 is 3100827.

It is a junction number, because it is equal to n+sod(n) for n = 72800097 and 72800106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420724 + ... + 420896.

It is an arithmetic number, because the mean of its divisors is an integer number (2006046).

Almost surely, 2^72800130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72800130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96290208).

72800130 is an abundant number, since it is smaller than the sum of its proper divisors (119780286).

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

72800130 is a wasteful number, since it uses less digits than its factorization.

72800130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72800130 is about 8532.2992211947. The cubic root of 72800130 is about 417.5521442753.

Adding to 72800130 its reverse (3100827), we get a palindrome (75900957).

The spelling of 72800130 in words is "seventy-two million, eight hundred thousand, one hundred thirty".