7132872516300 has 216 divisors, whose sum is σ = 22413815424000. Its totient is φ = 1897320240000.

The previous prime is 7132872516293. The next prime is 7132872516307. The reversal of 7132872516300 is 36152782317.

7132872516300 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 8 + 7 + 2 + 5 + 1 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7132872516293) and next prime (7132872516307).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7132872516307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1501338925 + ... + 1501343675.

It is an arithmetic number, because the mean of its divisors is an integer number (103767664000).

Almost surely, 2^{7132872516300} 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 7132872516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206907712000).

7132872516300 is an abundant number, since it is smaller than the sum of its proper divisors (15280942907700).

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

7132872516300 is a wasteful number, since it uses less digits than its factorization.

7132872516300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 7132872516300 in words is "seven trillion, one hundred thirty-two billion, eight hundred seventy-two million, five hundred sixteen thousand, three hundred".