72541711000 has 128 divisors (see below), whose sum is σ = 185328000000. Its totient is φ = 26357616000.

The previous prime is 72541710979. The next prime is 72541711003. The reversal of 72541711000 is 11714527.

It is a self number, because there is not a number n which added to its sum of digits gives 72541711000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72541711003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21987351 + ... + 21990649.

It is an arithmetic number, because the mean of its divisors is an integer number (1447875000).

Almost surely, 2^72541711000 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 72541711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92664000000).

72541711000 is an abundant number, since it is smaller than the sum of its proper divisors (112786289000).

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

72541711000 is a wasteful number, since it uses less digits than its factorization.

72541711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The spelling of 72541711000 in words is "seventy-two billion, five hundred forty-one million, seven hundred eleven thousand".