1075126272 has 224 divisors, whose sum is σ = 3236756544. Its totient is φ = 314572800.

The previous prime is 1075126243. The next prime is 1075126303. The reversal of 1075126272 is 2726215701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11083728 + ... + 11083824.

It is an arithmetic number, because the mean of its divisors is an integer number (14449806).

Almost surely, 2^1075126272 is an apocalyptic number.

1075126272 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 1075126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618378272).

1075126272 is an abundant number, since it is smaller than the sum of its proper divisors (2161630272).

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

1075126272 is an equidigital number, since it uses as much as digits as its factorization.

1075126272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1075126272 is about 32789.1181949134. The cubic root of 1075126272 is about 1024.4399151500.

The spelling of 1075126272 in words is "one billion, seventy-five million, one hundred twenty-six thousand, two hundred seventy-two".