72403420320 has 768 divisors, whose sum is σ = 317418393600. Its totient is φ = 14974709760.

The previous prime is 72403420319. The next prime is 72403420333. The reversal of 72403420320 is 2302430427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102120126 + ... + 102120834.

It is an arithmetic number, because the mean of its divisors is an integer number (413305200).

Almost surely, 2^72403420320 is an apocalyptic number.

72403420320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72403420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158709196800).

72403420320 is an abundant number, since it is smaller than the sum of its proper divisors (245014973280).

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

72403420320 is a wasteful number, since it uses less digits than its factorization.

72403420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 72403420320 its reverse (2302430427), we get a palindrome (74705850747).

The spelling of 72403420320 in words is "seventy-two billion, four hundred three million, four hundred twenty thousand, three hundred twenty".