72276830551296 has 1008 divisors, whose sum is σ = 250531434334720. Its totient is φ = 20374682664960.

The previous prime is 72276830551231. The next prime is 72276830551297. The reversal of 72276830551296 is 69215503867227.

72276830551296 is a `hidden beast` number, since 7 + 2 + 2 + 76 + 8 + 3 + 0 + 551 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72276830551297) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38588803416 + ... + 38588805288.

Almost surely, 2^{72276830551296} 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 72276830551296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125265717167360).

72276830551296 is an abundant number, since it is smaller than the sum of its proper divisors (178254603783424).

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

72276830551296 is a wasteful number, since it uses less digits than its factorization.

72276830551296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 72276830551296 in words is "seventy-two trillion, two hundred seventy-six billion, eight hundred thirty million, five hundred fifty-one thousand, two hundred ninety-six".