72800414279 has 8 divisors (see below), whose sum is σ = 73055355552. Its totient is φ = 72545616000.

The previous prime is 72800414257. The next prime is 72800414329. The reversal of 72800414279 is 97241400827.

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

It is a cyclic number.

It is not a de Polignac number, because 72800414279 - 2⁸ = 72800414023 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800414579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040654 + ... + 1108404.

It is an arithmetic number, because the mean of its divisors is an integer number (9131919444).

Almost surely, 2^72800414279 is an apocalyptic number.

72800414279 is a deficient number, since it is larger than the sum of its proper divisors (254941273).

72800414279 is a wasteful number, since it uses less digits than its factorization.

72800414279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71497.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 72800414279 in words is "seventy-two billion, eight hundred million, four hundred fourteen thousand, two hundred seventy-nine".