72516399741 has 32 divisors (see below), whose sum is σ = 113780782080. Its totient is φ = 45488659968.

The previous prime is 72516399701. The next prime is 72516399773. The reversal of 72516399741 is 14799361527.

72516399741 is a `hidden beast` number, since 7 + 2 + 516 + 39 + 97 + 4 + 1 = 666.

It is not a de Polignac number, because 72516399741 - 2⁶ = 72516399677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72516399701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953940 + ... + 1990706.

It is an arithmetic number, because the mean of its divisors is an integer number (3555649440).

Almost surely, 2^72516399741 is an apocalyptic number.

It is an amenable number.

72516399741 is a deficient number, since it is larger than the sum of its proper divisors (41264382339).

72516399741 is a wasteful number, since it uses less digits than its factorization.

72516399741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090 (or 41084 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 72516399741 in words is "seventy-two billion, five hundred sixteen million, three hundred ninety-nine thousand, seven hundred forty-one".