1272266072064 has 672 divisors, whose sum is σ = 4141661194944. Its totient is φ = 387939041280.

The previous prime is 1272266072029. The next prime is 1272266072107. The reversal of 1272266072064 is 4602706622721.

It is a happy number.

1272266072064 is a `hidden beast` number, since 12 + 7 + 2 + 2 + 6 + 607 + 20 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5460369292 + ... + 5460369524.

It is an arithmetic number, because the mean of its divisors is an integer number (6163186302).

Almost surely, 2^{1272266072064} 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 1272266072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070830597472).

1272266072064 is an abundant number, since it is smaller than the sum of its proper divisors (2869395122880).

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

1272266072064 is an equidigital number, since it uses as much as digits as its factorization.

1272266072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1272266072064 in words is "one trillion, two hundred seventy-two billion, two hundred sixty-six million, seventy-two thousand, sixty-four".