72813126 has 8 divisors (see below), whose sum is σ = 145626264. Its totient is φ = 24271040.

The previous prime is 72813119. The next prime is 72813133. The reversal of 72813126 is 62131827.

It is an interprime number because it is at equal distance from previous prime (72813119) and next prime (72813133).

It is a sphenic number, since it is the product of 3 distinct primes.

72813126 is an admirable number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72813093 and 72813102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6067755 + ... + 6067766.

It is an arithmetic number, because the mean of its divisors is an integer number (18203283).

Almost surely, 2^72813126 is an apocalyptic number.

72813126 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72813126 is a wasteful number, since it uses less digits than its factorization.

72813126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135526.

The product of its digits is 4032, while the sum is 30.

The square root of 72813126 is about 8533.0607638760. The cubic root of 72813126 is about 417.5769893994.

The spelling of 72813126 in words is "seventy-two million, eight hundred thirteen thousand, one hundred twenty-six".