72825045774 has 256 divisors, whose sum is σ = 184255948800. Its totient is φ = 18919194624.

The previous prime is 72825045743. The next prime is 72825045779. The reversal of 72825045774 is 47754052827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72825045779) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63160782 + ... + 63161934.

It is an arithmetic number, because the mean of its divisors is an integer number (719749800).

Almost surely, 2^72825045774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72825045774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92127974400).

72825045774 is an abundant number, since it is smaller than the sum of its proper divisors (111430903026).

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

72825045774 is a wasteful number, since it uses less digits than its factorization.

72825045774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339.

The product of its (nonzero) digits is 4390400, while the sum is 51.

The spelling of 72825045774 in words is "seventy-two billion, eight hundred twenty-five million, forty-five thousand, seven hundred seventy-four".