72731197440 has 864 divisors, whose sum is σ = 294439017600. Its totient is φ = 16420700160.

The previous prime is 72731197417. The next prime is 72731197507. The reversal of 72731197440 is 4479113727.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232732131 + ... + 1232732189.

It is an arithmetic number, because the mean of its divisors is an integer number (340785900).

Almost surely, 2^72731197440 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 72731197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147219508800).

72731197440 is an abundant number, since it is smaller than the sum of its proper divisors (221707820160).

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

72731197440 is a wasteful number, since it uses less digits than its factorization.

72731197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 72731197440 in words is "seventy-two billion, seven hundred thirty-one million, one hundred ninety-seven thousand, four hundred forty".