87210927072 has 144 divisors (see below), whose sum is σ = 265488717312. Its totient is φ = 28132479360.

The previous prime is 87210926969. The next prime is 87210927101. The reversal of 87210927072 is 27072901278.

It is a tau number, because it is divible by the number of its divisors (144).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60163 + ... + 421949.

It is an arithmetic number, because the mean of its divisors is an integer number (1843671648).

Almost surely, 2^87210927072 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 87210927072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132744358656).

87210927072 is an abundant number, since it is smaller than the sum of its proper divisors (178277790240).

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

87210927072 is a wasteful number, since it uses less digits than its factorization.

87210927072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361843 (or 361823 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 87210927072 in words is "eighty-seven billion, two hundred ten million, nine hundred twenty-seven thousand, seventy-two".