7572000384 has 576 divisors, whose sum is σ = 26207064000. Its totient is φ = 2087534592.

The previous prime is 7572000367. The next prime is 7572000391. The reversal of 7572000384 is 4830002757.

7572000384 is a `hidden beast` number, since 7 + 572 + 0 + 0 + 0 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7572000384² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85078612 + ... + 85078700.

It is an arithmetic number, because the mean of its divisors is an integer number (45498375).

Almost surely, 2^7572000384 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 7572000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13103532000).

7572000384 is an abundant number, since it is smaller than the sum of its proper divisors (18635063616).

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

7572000384 is a wasteful number, since it uses less digits than its factorization.

7572000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7572000384 is about 87017.2418776877. The cubic root of 7572000384 is about 1963.6777041053.

The spelling of 7572000384 in words is "seven billion, five hundred seventy-two million, three hundred eighty-four", and thus it is an aban number.