72626288762880 has 1344 divisors, whose sum is σ = 264388491214848. Its totient is φ = 18420415856640.

The previous prime is 72626288762827. The next prime is 72626288762959. The reversal of 72626288762880 is 8826788262627.

It is a happy number.

72626288762880 is a `hidden beast` number, since 7 + 2 + 6 + 262 + 8 + 87 + 6 + 288 + 0 = 666.

It is a super-4 number, since 4×72626288762880⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72626288762799 and 72626288762808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236567715687 + ... + 236567715993.

It is an arithmetic number, because the mean of its divisors is an integer number (196717627392).

Almost surely, 2^{72626288762880} 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 72626288762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132194245607424).

72626288762880 is an abundant number, since it is smaller than the sum of its proper divisors (191762202451968).

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

72626288762880 is a wasteful number, since it uses less digits than its factorization.

72626288762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 72626288762880 in words is "seventy-two trillion, six hundred twenty-six billion, two hundred eighty-eight million, seven hundred sixty-two thousand, eight hundred eighty".