1072252052352 has 256 divisors, whose sum is σ = 3417112608000. Its totient is φ = 329047971840.

The previous prime is 1072252052323. The next prime is 1072252052357. The reversal of 1072252052352 is 2532502522701.

1072252052352 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 252 + 0 + 52 + 352 = 666.

It is a super-2 number, since 2×1072252052352² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072252052357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16996227 + ... + 17059197.

It is an arithmetic number, because the mean of its divisors is an integer number (13348096125).

Almost surely, 2^{1072252052352} is an apocalyptic number.

1072252052352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072252052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708556304000).

1072252052352 is an abundant number, since it is smaller than the sum of its proper divisors (2344860555648).

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

1072252052352 is a wasteful number, since it uses less digits than its factorization.

1072252052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63386 (or 63368 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 1072252052352 in words is "one trillion, seventy-two billion, two hundred fifty-two million, fifty-two thousand, three hundred fifty-two".