72749400864 has 192 divisors, whose sum is σ = 221562190080. Its totient is φ = 20472238080.

The previous prime is 72749400863. The next prime is 72749400883. The reversal of 72749400864 is 46800494727.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72749400863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12669034 + ... + 12674774.

It is an arithmetic number, because the mean of its divisors is an integer number (1153969740).

Almost surely, 2^72749400864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72749400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110781095040).

72749400864 is an abundant number, since it is smaller than the sum of its proper divisors (148812789216).

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

72749400864 is a wasteful number, since it uses less digits than its factorization.

72749400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 72749400864 in words is "seventy-two billion, seven hundred forty-nine million, four hundred thousand, eight hundred sixty-four".