72510497280 has 480 divisors, whose sum is σ = 273045492720. Its totient is φ = 17677025280.

The previous prime is 72510497251. The next prime is 72510497281. The reversal of 72510497280 is 8279401527.

It is a happy number.

72510497280 is a `hidden beast` number, since 72 + 5 + 10 + 497 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30914078976 + 41596418304 = 175824^2 + 203952^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (72510497281) 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, 32646570 + ... + 32648790.

Almost surely, 2^72510497280 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 72510497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136522746360).

72510497280 is an abundant number, since it is smaller than the sum of its proper divisors (200534995440).

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

72510497280 is a wasteful number, since it uses less digits than its factorization.

72510497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 72510497280 in words is "seventy-two billion, five hundred ten million, four hundred ninety-seven thousand, two hundred eighty".