72627852614440 has 32 divisors (see below), whose sum is σ = 163412981885160. Its totient is φ = 29051085312000.

The previous prime is 72627852614431. The next prime is 72627852614503. The reversal of 72627852614440 is 4441625872627.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54885072134916 + 17742780479524 = 7408446^2 + 4212218^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24103840 + ... + 26949040.

Almost surely, 2^{72627852614440} is an apocalyptic number.

It is an amenable number.

72627852614440 is an abundant number, since it is smaller than the sum of its proper divisors (90785129270720).

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

72627852614440 is a wasteful number, since it uses less digits than its factorization.

72627852614440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483373 (or 3483369 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 58.

The spelling of 72627852614440 in words is "seventy-two trillion, six hundred twenty-seven billion, eight hundred fifty-two million, six hundred fourteen thousand, four hundred forty".