1145728752 has 160 divisors (see below), whose sum is σ = 3613102080. Its totient is φ = 305786880.

The previous prime is 1145728711. The next prime is 1145728799. The reversal of 1145728752 is 2578275411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300168 + ... + 303960.

It is an arithmetic number, because the mean of its divisors is an integer number (22581888).

Almost surely, 2^1145728752 is an apocalyptic number.

1145728752 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 1145728752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806551040).

1145728752 is an abundant number, since it is smaller than the sum of its proper divisors (2467373328).

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

1145728752 is a wasteful number, since it uses less digits than its factorization.

1145728752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3865 counting only the distinct ones).

The product of its digits is 156800, while the sum is 42.

The square root of 1145728752 is about 33848.6152153969. The cubic root of 1145728752 is about 1046.3908593923.

The spelling of 1145728752 in words is "one billion, one hundred forty-five million, seven hundred twenty-eight thousand, seven hundred fifty-two".