1017072276672 has 56 divisors (see below), whose sum is σ = 2691445764672. Its totient is φ = 338968403200.

The previous prime is 1017072276659. The next prime is 1017072276683. The reversal of 1017072276672 is 2766722707101.

1017072276672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745147 + ... + 1609157.

It is an arithmetic number, because the mean of its divisors is an integer number (48061531512).

Almost surely, 2^{1017072276672} is an apocalyptic number.

1017072276672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1017072276672 is an abundant number, since it is smaller than the sum of its proper divisors (1674373488000).

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

1017072276672 is an equidigital number, since it uses as much as digits as its factorization.

1017072276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870157 (or 870147 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 1017072276672 in words is "one trillion, seventeen billion, seventy-two million, two hundred seventy-six thousand, six hundred seventy-two".