7136487072 has 576 divisors, whose sum is σ = 25338096000. Its totient is φ = 1940336640.

The previous prime is 7136487067. The next prime is 7136487079. The reversal of 7136487072 is 2707846317.

7136487072 is a `hidden beast` number, since 71 + 36 + 487 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (7136487079) 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, 80185204 + ... + 80185292.

It is an arithmetic number, because the mean of its divisors is an integer number (43989750).

Almost surely, 2^7136487072 is an apocalyptic number.

7136487072 is a gapful number since it is divisible by the number (72) 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 7136487072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048000).

7136487072 is an abundant number, since it is smaller than the sum of its proper divisors (18201608928).

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

7136487072 is a wasteful number, since it uses less digits than its factorization.

7136487072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7136487072 is about 84477.7312195350. The cubic root of 7136487072 is about 1925.2841158876.

The spelling of 7136487072 in words is "seven billion, one hundred thirty-six million, four hundred eighty-seven thousand, seventy-two".