72268572838464 has 140 divisors (see below), whose sum is σ = 214251534627900. Its totient is φ = 24086730488832.

The previous prime is 72268572838417. The next prime is 72268572838543. The reversal of 72268572838464 is 46483827586227.

It is a happy number.

72268572838464 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 8 + 572 + 8 + 3 + 8 + 46 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10224594598464 + 62043978240000 = 3197592^2 + 7876800^2 .

It is a super-3 number, since 3×72268572838464³ (a number of 43 digits) contains 333 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 = 72268572838392 and 72268572838401.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44136042 + ... + 45744150.

It is an arithmetic number, because the mean of its divisors is an integer number (1530368104485).

Almost surely, 2^{72268572838464} 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 72268572838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107125767313950).

72268572838464 is an abundant number, since it is smaller than the sum of its proper divisors (141982961789436).

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

72268572838464 is a wasteful number, since it uses less digits than its factorization.

72268572838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616802 (or 1616783 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 72268572838464 in words is "seventy-two trillion, two hundred sixty-eight billion, five hundred seventy-two million, eight hundred thirty-eight thousand, four hundred sixty-four".