1533712752 has 480 divisors, whose sum is σ = 5439721280. Its totient is φ = 410572800.

The previous prime is 1533712723. The next prime is 1533712753. The reversal of 1533712752 is 2572173351.

It is a happy number.

1533712752 is a `hidden beast` number, since 1 + 533 + 71 + 2 + 7 + 52 = 666.

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

Its product of digits (44100) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1533712753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25142802 + ... + 25142862.

Almost surely, 2^1533712752 is an apocalyptic number.

1533712752 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 1533712752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719860640).

1533712752 is an abundant number, since it is smaller than the sum of its proper divisors (3906008528).

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

1533712752 is a wasteful number, since it uses less digits than its factorization.

1533712752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 1533712752 is about 39162.6448545039. The cubic root of 1533712752 is about 1153.2266664543.

The spelling of 1533712752 in words is "one billion, five hundred thirty-three million, seven hundred twelve thousand, seven hundred fifty-two".