1152825072 has 80 divisors (see below), whose sum is σ = 3461326080. Its totient is φ = 323790336.

The previous prime is 1152825049. The next prime is 1152825077. The reversal of 1152825072 is 2705282511.

1152825072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1152825072³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152825077) 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, 9253 + ... + 48900.

It is an arithmetic number, because the mean of its divisors is an integer number (43266576).

Almost surely, 2^1152825072 is an apocalyptic number.

1152825072 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 1152825072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730663040).

1152825072 is an abundant number, since it is smaller than the sum of its proper divisors (2308501008).

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

1152825072 is a wasteful number, since it uses less digits than its factorization.

1152825072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58230 (or 58224 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 1152825072 is about 33953.2777799140. The cubic root of 1152825072 is about 1048.5467642032.

The spelling of 1152825072 in words is "one billion, one hundred fifty-two million, eight hundred twenty-five thousand, seventy-two".