72776326350 has 432 divisors, whose sum is σ = 233052739920. Its totient is φ = 14970009600.

The previous prime is 72776326303. The next prime is 72776326367. The reversal of 72776326350 is 5362367727.

It is a self number, because there is not a number n which added to its sum of digits gives 72776326350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50927436 + ... + 50928864.

It is an arithmetic number, because the mean of its divisors is an integer number (539473935).

Almost surely, 2^72776326350 is an apocalyptic number.

72776326350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72776326350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116526369960).

72776326350 is an abundant number, since it is smaller than the sum of its proper divisors (160276413570).

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

72776326350 is a wasteful number, since it uses less digits than its factorization.

72776326350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 48.

The spelling of 72776326350 in words is "seventy-two billion, seven hundred seventy-six million, three hundred twenty-six thousand, three hundred fifty".