72874719288 has 192 divisors, whose sum is σ = 235599436800. Its totient is φ = 19896814080.

The previous prime is 72874719157. The next prime is 72874719289. The reversal of 72874719288 is 88291747827.

72874719288 is a `hidden beast` number, since 7 + 2 + 87 + 471 + 9 + 2 + 88 = 666.

It is a super-2 number, since 2×72874719288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72874719289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15310653 + ... + 15315411.

It is an arithmetic number, because the mean of its divisors is an integer number (1227080400).

Almost surely, 2^72874719288 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 72874719288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117799718400).

72874719288 is an abundant number, since it is smaller than the sum of its proper divisors (162724717512).

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

72874719288 is a wasteful number, since it uses less digits than its factorization.

72874719288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6115 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

The spelling of 72874719288 in words is "seventy-two billion, eight hundred seventy-four million, seven hundred nineteen thousand, two hundred eighty-eight".