4536252072 has 224 divisors, whose sum is σ = 14366741760. Its totient is φ = 1329696000.

The previous prime is 4536252067. The next prime is 4536252079. The reversal of 4536252072 is 2702526354.

4536252072 is a `hidden beast` number, since 4 + 5 + 3 + 62 + 520 + 72 = 666.

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 (4536252079) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1987572 + ... + 1989852.

It is an arithmetic number, because the mean of its divisors is an integer number (64137240).

Almost surely, 2^4536252072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4536252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183370880).

4536252072 is an abundant number, since it is smaller than the sum of its proper divisors (9830489688).

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

4536252072 is a wasteful number, since it uses less digits than its factorization.

4536252072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4536252072 is about 67351.7042991490. The cubic root of 4536252072 is about 1655.3851687322.

The spelling of 4536252072 in words is "four billion, five hundred thirty-six million, two hundred fifty-two thousand, seventy-two".