72471901840 has 80 divisors (see below), whose sum is σ = 182472696000. Its totient is φ = 26609296896.

The previous prime is 72471901829. The next prime is 72471901891. The reversal of 72471901840 is 4810917427.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 8490 + ... + 380809.

It is an arithmetic number, because the mean of its divisors is an integer number (2280908700).

Almost surely, 2^72471901840 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 72471901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91236348000).

72471901840 is an abundant number, since it is smaller than the sum of its proper divisors (110000794160).

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

72471901840 is a wasteful number, since it uses less digits than its factorization.

72471901840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389504 (or 389498 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 72471901840 in words is "seventy-two billion, four hundred seventy-one million, nine hundred one thousand, eight hundred forty".