72394000277856 has 192 divisors, whose sum is σ = 199531772858880. Its totient is φ = 22938815877120.

The previous prime is 72394000277831. The next prime is 72394000277857. The reversal of 72394000277856 is 65877200049327.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72394000277856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72394000277857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228597190 + ... + 228913658.

It is an arithmetic number, because the mean of its divisors is an integer number (1039227983640).

Almost surely, 2^{72394000277856} 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 72394000277856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99765886429440).

72394000277856 is an abundant number, since it is smaller than the sum of its proper divisors (127137772581024).

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

72394000277856 is a wasteful number, since it uses less digits than its factorization.

72394000277856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317149 (or 317141 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 72394000277856 in words is "seventy-two trillion, three hundred ninety-four billion, two hundred seventy-seven thousand, eight hundred fifty-six".