72938986848 has 432 divisors, whose sum is σ = 261665310816. Its totient is φ = 19102003200.

The previous prime is 72938986807. The next prime is 72938986859. The reversal of 72938986848 is 84868983927.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27700540 + ... + 27703172.

It is an arithmetic number, because the mean of its divisors is an integer number (605706738).

Almost surely, 2^72938986848 is an apocalyptic number.

72938986848 is a gapful number since it is divisible by the number (78) 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 72938986848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130832655408).

72938986848 is an abundant number, since it is smaller than the sum of its proper divisors (188726323968).

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

72938986848 is a wasteful number, since it uses less digits than its factorization.

72938986848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2809 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 72938986848 in words is "seventy-two billion, nine hundred thirty-eight million, nine hundred eighty-six thousand, eight hundred forty-eight".