72724377726 has 288 divisors, whose sum is σ = 217965541248. Its totient is φ = 17223857280.

The previous prime is 72724377721. The next prime is 72724377731. The reversal of 72724377726 is 62777342727.

72724377726 is a `hidden beast` number, since 72 + 72 + 437 + 7 + 72 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (72724377721) and next prime (72724377731).

It is a super-3 number, since 3×72724377726³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72724377721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10464985 + ... + 10471931.

It is an arithmetic number, because the mean of its divisors is an integer number (756824796).

Almost surely, 2^72724377726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72724377726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108982770624).

72724377726 is an abundant number, since it is smaller than the sum of its proper divisors (145241163522).

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

72724377726 is a wasteful number, since it uses less digits than its factorization.

72724377726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7066 counting only the distinct ones).

The product of its digits is 9680832, while the sum is 54.

The spelling of 72724377726 in words is "seventy-two billion, seven hundred twenty-four million, three hundred seventy-seven thousand, seven hundred twenty-six".