87213763672 has 96 divisors (see below), whose sum is σ = 200465420400. Its totient is φ = 35369478144.

The previous prime is 87213763657. The next prime is 87213763673. The reversal of 87213763672 is 27636731278.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87213763673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6972528 + ... + 6985024.

Almost surely, 2^87213763672 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 87213763672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100232710200).

87213763672 is an abundant number, since it is smaller than the sum of its proper divisors (113251656728).

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

87213763672 is a wasteful number, since it uses less digits than its factorization.

87213763672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13473 (or 13462 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 52.

The spelling of 87213763672 in words is "eighty-seven billion, two hundred thirteen million, seven hundred sixty-three thousand, six hundred seventy-two".