72827844690 has 64 divisors (see below), whose sum is σ = 182714662656. Its totient is φ = 18542929152.

The previous prime is 72827844679. The next prime is 72827844763. The reversal of 72827844690 is 9644872827.

It is a happy number.

It is a super-2 number, since 2×72827844690² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72827844690.

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, 289584 + ... + 479076.

It is an arithmetic number, because the mean of its divisors is an integer number (2854916604).

Almost surely, 2^72827844690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72827844690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91357331328).

72827844690 is an abundant number, since it is smaller than the sum of its proper divisors (109886817966).

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

72827844690 is a wasteful number, since it uses less digits than its factorization.

72827844690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190083.

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 72827844690 in words is "seventy-two billion, eight hundred twenty-seven million, eight hundred forty-four thousand, six hundred ninety".