72576737280 has 672 divisors, whose sum is σ = 274456666224. Its totient is φ = 17666408448.

The previous prime is 72576737267. The next prime is 72576737293. The reversal of 72576737280 is 8273767527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72576737267) and next prime (72576737293).

It can be written as a sum of positive squares in 8 ways, for example, as 32781275136 + 39795462144 = 181056^2 + 199488^2 .

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, 231874404 + ... + 231874716.

Almost surely, 2^72576737280 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 72576737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137228333112).

72576737280 is an abundant number, since it is smaller than the sum of its proper divisors (201879928944).

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

72576737280 is a wasteful number, since it uses less digits than its factorization.

72576737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 72576737280 in words is "seventy-two billion, five hundred seventy-six million, seven hundred thirty-seven thousand, two hundred eighty".