1072145527752 has 64 divisors (see below), whose sum is σ = 2929628479680. Its totient is φ = 324967180032.

The previous prime is 1072145527703. The next prime is 1072145527759. The reversal of 1072145527752 is 2577255412701.

It is a super-2 number, since 2×1072145527752² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072145527759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25623603 + ... + 25665410.

It is an arithmetic number, because the mean of its divisors is an integer number (45775444995).

Almost surely, 2^{1072145527752} is an apocalyptic number.

1072145527752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1072145527752 is an abundant number, since it is smaller than the sum of its proper divisors (1857482951928).

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

1072145527752 is a wasteful number, since it uses less digits than its factorization.

1072145527752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51289102 (or 51289098 counting only the distinct ones).

The product of its (nonzero) digits is 1372000, while the sum is 48.

The spelling of 1072145527752 in words is "one trillion, seventy-two billion, one hundred forty-five million, five hundred twenty-seven thousand, seven hundred fifty-two".