72295288344 has 320 divisors, whose sum is σ = 220571577600. Its totient is φ = 22044960000.

The previous prime is 72295288343. The next prime is 72295288349. The reversal of 72295288344 is 44388259227.

72295288344 is a `hidden beast` number, since 7 + 2 + 295 + 2 + 8 + 8 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72295288343) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68786619 + ... + 68787669.

It is an arithmetic number, because the mean of its divisors is an integer number (689286180).

Almost surely, 2^72295288344 is an apocalyptic number.

72295288344 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72295288344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110285788800).

72295288344 is an abundant number, since it is smaller than the sum of its proper divisors (148276289256).

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

72295288344 is a wasteful number, since it uses less digits than its factorization.

72295288344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 72295288344 in words is "seventy-two billion, two hundred ninety-five million, two hundred eighty-eight thousand, three hundred forty-four".