72475065807744 has 256 divisors, whose sum is σ = 211506988492800. Its totient is φ = 21886369781760.

The previous prime is 72475065807731. The next prime is 72475065807761. The reversal of 72475065807744 is 44770856057427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706588207 + ... + 706690769.

It is an arithmetic number, because the mean of its divisors is an integer number (826199173800).

Almost surely, 2^{72475065807744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72475065807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753494246400).

72475065807744 is an abundant number, since it is smaller than the sum of its proper divisors (139031922685056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72475065807744 is a wasteful number, since it uses less digits than its factorization.

72475065807744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106833 (or 106821 counting only the distinct ones).

The product of its (nonzero) digits is 368793600, while the sum is 66.

The spelling of 72475065807744 in words is "seventy-two trillion, four hundred seventy-five billion, sixty-five million, eight hundred seven thousand, seven hundred forty-four".