72075788928 has 1024 divisors, whose sum is σ = 266499072000. Its totient is φ = 18873630720.

The previous prime is 72075788927. The next prime is 72075788929. The reversal of 72075788928 is 82988757027.

It is an interprime number because it is at equal distance from previous prime (72075788927) and next prime (72075788929).

It is not an unprimeable number, because it can be changed into a prime (72075788927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 673605451 + ... + 673605557.

It is an arithmetic number, because the mean of its divisors is an integer number (260253000).

Almost surely, 2^72075788928 is an apocalyptic number.

72075788928 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 72075788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536000).

72075788928 is an abundant number, since it is smaller than the sum of its proper divisors (194423283072).

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

72075788928 is a wasteful number, since it uses less digits than its factorization.

72075788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 72075788928 in words is "seventy-two billion, seventy-five million, seven hundred eighty-eight thousand, nine hundred twenty-eight".