72014461000 has 128 divisors (see below), whose sum is σ = 171121766400. Its totient is φ = 28363507200.

The previous prime is 72014460989. The next prime is 72014461021. The reversal of 72014461000 is 16441027.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17396931 + ... + 17401069.

It is an arithmetic number, because the mean of its divisors is an integer number (1336888800).

Almost surely, 2^72014461000 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 72014461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85560883200).

72014461000 is an abundant number, since it is smaller than the sum of its proper divisors (99107305400).

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

72014461000 is a wasteful number, since it uses less digits than its factorization.

72014461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 72014461000 in words is "seventy-two billion, fourteen million, four hundred sixty-one thousand".