72294301440 has 720 divisors, whose sum is σ = 271241220096. Its totient is φ = 18363801600.

The previous prime is 72294301433. The next prime is 72294301459. The reversal of 72294301440 is 4410349227.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72294301395 and 72294301404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 266768505 + ... + 266768775.

Almost surely, 2^72294301440 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 72294301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135620610048).

72294301440 is an abundant number, since it is smaller than the sum of its proper divisors (198946918656).

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

72294301440 is a wasteful number, since it uses less digits than its factorization.

72294301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 72294301440 in words is "seventy-two billion, two hundred ninety-four million, three hundred one thousand, four hundred forty".