72906315279 has 16 divisors (see below), whose sum is σ = 111199882752. Its totient is φ = 41621547168.

The previous prime is 72906315269. The next prime is 72906315289. The reversal of 72906315279 is 97251360927.

It is an interprime number because it is at equal distance from previous prime (72906315269) and next prime (72906315289).

It is not a de Polignac number, because 72906315279 - 2⁵ = 72906315247 is a prime.

It is a super-3 number, since 3×72906315279³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72906315269) 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, 1610664 + ... + 1655309.

It is an arithmetic number, because the mean of its divisors is an integer number (6949992672).

Almost surely, 2^72906315279 is an apocalyptic number.

72906315279 is a deficient number, since it is larger than the sum of its proper divisors (38293567473).

72906315279 is a wasteful number, since it uses less digits than its factorization.

72906315279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267046.

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 72906315279 in words is "seventy-two billion, nine hundred six million, three hundred fifteen thousand, two hundred seventy-nine".