72478440328 has 64 divisors (see below), whose sum is σ = 162275477760. Its totient is φ = 29672814336.

The previous prime is 72478440323. The next prime is 72478440337. The reversal of 72478440328 is 82304487427.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72478440323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959226 + ... + 1032022.

It is an arithmetic number, because the mean of its divisors is an integer number (2535554340).

Almost surely, 2^72478440328 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 72478440328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81137738880).

72478440328 is an abundant number, since it is smaller than the sum of its proper divisors (89797037432).

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

72478440328 is a wasteful number, since it uses less digits than its factorization.

72478440328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73606 (or 73602 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 49.

The spelling of 72478440328 in words is "seventy-two billion, four hundred seventy-eight million, four hundred forty thousand, three hundred twenty-eight".