87530772736 has 135 divisors (see below), whose sum is σ = 196848373015. Its totient is φ = 38816307200.

The previous prime is 87530772731. The next prime is 87530772751. The reversal of 87530772736 is 63727703578.

The square root of 87530772736 is 295856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 71472814336 + 16057958400 = 267344^2 + 126720^2 .

It is a super-2 number, since 2×87530772736² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87530772731) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2134896876 + ... + 2134896916.

Almost surely, 2^87530772736 is an apocalyptic number.

87530772736 is the 295856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87530772736

87530772736 is an abundant number, since it is smaller than the sum of its proper divisors (109317600279).

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

87530772736 is an frugal number, since it uses more digits than its factorization.

87530772736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 55.

The spelling of 87530772736 in words is "eighty-seven billion, five hundred thirty million, seven hundred seventy-two thousand, seven hundred thirty-six".