72339054249 has 128 divisors (see below), whose sum is σ = 127543541760. Its totient is φ = 35380800000.

The previous prime is 72339054209. The next prime is 72339054253. The reversal of 72339054249 is 94245093327.

It is not a de Polignac number, because 72339054249 - 2¹⁶ = 72338988713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72339054198 and 72339054207.

It is not an unprimeable number, because it can be changed into a prime (72339054209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40165149 + ... + 40166949.

It is an arithmetic number, because the mean of its divisors is an integer number (996433920).

Almost surely, 2^72339054249 is an apocalyptic number.

72339054249 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

72339054249 is a deficient number, since it is larger than the sum of its proper divisors (55204487511).

72339054249 is a wasteful number, since it uses less digits than its factorization.

72339054249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 72339054249 in words is "seventy-two billion, three hundred thirty-nine million, fifty-four thousand, two hundred forty-nine".