72966082840 has 256 divisors, whose sum is σ = 201491712000. Its totient is φ = 23213039616.

The previous prime is 72966082829. The next prime is 72966082843. The reversal of 72966082840 is 4828066927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72966082843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121812861 + ... + 121813459.

It is an arithmetic number, because the mean of its divisors is an integer number (787077000).

Almost surely, 2^72966082840 is an apocalyptic number.

72966082840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72966082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100745856000).

72966082840 is an abundant number, since it is smaller than the sum of its proper divisors (128525629160).

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

72966082840 is a wasteful number, since it uses less digits than its factorization.

72966082840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 72966082840 in words is "seventy-two billion, nine hundred sixty-six million, eighty-two thousand, eight hundred forty".