7152348800 has 96 divisors (see below), whose sum is σ = 18708004620. Its totient is φ = 2692628480.

The previous prime is 7152348779. The next prime is 7152348803. The reversal of 7152348800 is 88432517.

It can be written as a sum of positive squares in 6 ways, for example, as 5622600256 + 1529748544 = 74984^2 + 39112^2 .

It is a super-2 number, since 2×7152348800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7152348803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11339 + ... + 120138.

Almost surely, 2^7152348800 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 7152348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354002310).

7152348800 is an abundant number, since it is smaller than the sum of its proper divisors (11555655820).

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

7152348800 is a wasteful number, since it uses less digits than its factorization.

7152348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131518 (or 131501 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 7152348800 is about 84571.5602315577. The cubic root of 7152348800 is about 1926.7094546890.

The spelling of 7152348800 in words is "seven billion, one hundred fifty-two million, three hundred forty-eight thousand, eight hundred".