72942280704 has 280 divisors, whose sum is σ = 223877889048. Its totient is φ = 23648993280.

The previous prime is 72942280703. The next prime is 72942280721. The reversal of 72942280704 is 40708224927.

It is a super-2 number, since 2×72942280704² (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 72942280704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72942280703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24549939 + ... + 24552909.

Almost surely, 2^72942280704 is an apocalyptic number.

72942280704 is a gapful number since it is divisible by the number (74) 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 72942280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111938944524).

72942280704 is an abundant number, since it is smaller than the sum of its proper divisors (150935608344).

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

72942280704 is an equidigital number, since it uses as much as digits as its factorization.

72942280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 72942280704 in words is "seventy-two billion, nine hundred forty-two million, two hundred eighty thousand, seven hundred four".