72401305284 has 144 divisors (see below), whose sum is σ = 231914906496. Its totient is φ = 18497203200.

The previous prime is 72401305279. The next prime is 72401305363. The reversal of 72401305284 is 48250310427.

It is a happy number.

72401305284 is a `hidden beast` number, since 7 + 240 + 130 + 5 + 284 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44997 + ... + 383180.

It is an arithmetic number, because the mean of its divisors is an integer number (1610520184).

Almost surely, 2^72401305284 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 72401305284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115957453248).

72401305284 is an abundant number, since it is smaller than the sum of its proper divisors (159513601212).

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

72401305284 is a wasteful number, since it uses less digits than its factorization.

72401305284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428266 (or 428261 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 72401305284 in words is "seventy-two billion, four hundred one million, three hundred five thousand, two hundred eighty-four".