72046565774525 has 24 divisors (see below), whose sum is σ = 89936059587624. Its totient is φ = 57251848448000.

The previous prime is 72046565774483. The next prime is 72046565774581. The reversal of 72046565774525 is 52547756564027.

It can be written as a sum of positive squares in 12 ways, for example, as 8939842861849 + 63106722912676 = 2989957^2 + 7943974^2 .

It is not a de Polignac number, because 72046565774525 - 2¹⁶ = 72046565708989 is a prime.

It is a super-2 number, since 2×72046565774525² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848076 + ... + 12337125.

It is an arithmetic number, because the mean of its divisors is an integer number (3747335816151).

Almost surely, 2^{72046565774525} is an apocalyptic number.

It is an amenable number.

72046565774525 is a deficient number, since it is larger than the sum of its proper divisors (17889493813099).

72046565774525 is a wasteful number, since it uses less digits than its factorization.

72046565774525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15186481 (or 15186476 counting only the distinct ones).

The product of its (nonzero) digits is 493920000, while the sum is 65.

The spelling of 72046565774525 in words is "seventy-two trillion, forty-six billion, five hundred sixty-five million, seven hundred seventy-four thousand, five hundred twenty-five".