72646245762741 has 48 divisors (see below), whose sum is σ = 125157466886400. Its totient is φ = 39701102538240.

The previous prime is 72646245762731. The next prime is 72646245762751. The reversal of 72646245762741 is 14726754264627.

72646245762741 is a `hidden beast` number, since 7 + 2 + 6 + 462 + 45 + 7 + 62 + 74 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (72646245762731) and next prime (72646245762751).

It is not a de Polignac number, because 72646245762741 - 2⁷ = 72646245762613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72646245762731) 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 47 ways as a sum of consecutive naturals, for example, 5457531 + ... + 13231671.

It is an arithmetic number, because the mean of its divisors is an integer number (2607447226800).

Almost surely, 2^{72646245762741} is an apocalyptic number.

It is an amenable number.

72646245762741 is a deficient number, since it is larger than the sum of its proper divisors (52511221123659).

72646245762741 is a wasteful number, since it uses less digits than its factorization.

72646245762741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780626 (or 7780623 counting only the distinct ones).

The product of its digits is 189665280, while the sum is 63.

The spelling of 72646245762741 in words is "seventy-two trillion, six hundred forty-six billion, two hundred forty-five million, seven hundred sixty-two thousand, seven hundred forty-one".