72275671680 has 512 divisors, whose sum is σ = 253808640000. Its totient is φ = 17424875520.

The previous prime is 72275671667. The next prime is 72275671687. The reversal of 72275671680 is 8617657227.

It is not an unprimeable number, because it can be changed into a prime (72275671687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89339116 + ... + 89339924.

It is an arithmetic number, because the mean of its divisors is an integer number (495720000).

Almost surely, 2^72275671680 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 72275671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320000).

72275671680 is an abundant number, since it is smaller than the sum of its proper divisors (181532968320).

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

72275671680 is a wasteful number, since it uses less digits than its factorization.

72275671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 72275671680 in words is "seventy-two billion, two hundred seventy-five million, six hundred seventy-one thousand, six hundred eighty".