72394649327 has 144 divisors (see below), whose sum is σ = 105342664896. Its totient is φ = 49177497600.

The previous prime is 72394649323. The next prime is 72394649359.

72394649327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72394649327 - 2² = 72394649323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72394649323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171958577 + ... + 171958997.

It is an arithmetic number, because the mean of its divisors is an integer number (731546284).

Almost surely, 2^72394649327 is an apocalyptic number.

72394649327 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72394649327 is a deficient number, since it is larger than the sum of its proper divisors (32948015569).

72394649327 is a wasteful number, since it uses less digits than its factorization.

72394649327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 572 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 56.

The spelling of 72394649327 in words is "seventy-two billion, three hundred ninety-four million, six hundred forty-nine thousand, three hundred twenty-seven".