72315267840 has 432 divisors, whose sum is σ = 266682544128. Its totient is φ = 18050064384.

The previous prime is 72315267833. The next prime is 72315267841. The reversal of 72315267840 is 4876251327.

72315267840 is a `hidden beast` number, since 72 + 315 + 267 + 8 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72315267841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12450217 + ... + 12456023.

It is an arithmetic number, because the mean of its divisors is an integer number (617320704).

Almost surely, 2^72315267840 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 72315267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133341272064).

72315267840 is an abundant number, since it is smaller than the sum of its proper divisors (194367276288).

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

72315267840 is a wasteful number, since it uses less digits than its factorization.

72315267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72315267840 in words is "seventy-two billion, three hundred fifteen million, two hundred sixty-seven thousand, eight hundred forty".