1072256108004 has 27 divisors (see below), whose sum is σ = 2710440867043. Its totient is φ = 357416631672.

The previous prime is 1072256107999. The next prime is 1072256108017. The reversal of 1072256108004 is 4008016522701.

The square root of 1072256108004 is 1035498.

It is a perfect power (a square), and thus also a powerful number.

1072256108004 is a `hidden beast` number, since 10 + 7 + 2 + 2 + 561 + 0 + 80 + 0 + 4 = 666.

It is a super-2 number, since 2×1072256108004² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1072256108004.

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 8 ways as a sum of consecutive naturals, for example, 6126697 + ... + 6299279.

Almost surely, 2^{1072256108004} is an apocalyptic number.

1072256108004 is the 1035498-th square number.

It is an amenable number.

1072256108004 is an abundant number, since it is smaller than the sum of its proper divisors (1638184759039).

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

1072256108004 is an frugal number, since it uses more digits than its factorization.

1072256108004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345176 (or 172588 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 1072256108004 by its sum of digits (36), we get a square (38601219888144 = 6212988²).

1072256108004 divided by its sum of digits (36) gives a square (29784891889 = 172583²).

The spelling of 1072256108004 in words is "one trillion, seventy-two billion, two hundred fifty-six million, one hundred eight thousand, four".