1075144752 has 240 divisors, whose sum is σ = 3555272448. Its totient is φ = 311351040.

The previous prime is 1075144751. The next prime is 1075144757. The reversal of 1075144752 is 2574415701.

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

It is not an unprimeable number, because it can be changed into a prime (1075144751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983118 + ... + 984210.

Almost surely, 2^1075144752 is an apocalyptic number.

1075144752 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 1075144752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777636224).

1075144752 is an abundant number, since it is smaller than the sum of its proper divisors (2480127696).

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

1075144752 is a wasteful number, since it uses less digits than its factorization.

1075144752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 1075144752 is about 32789.3999945104. The cubic root of 1075144752 is about 1024.4457847059.

The spelling of 1075144752 in words is "one billion, seventy-five million, one hundred forty-four thousand, seven hundred fifty-two".