87072472032 has 288 divisors, whose sum is σ = 285131169792. Its totient is φ = 22779574272.

The previous prime is 87072472009. The next prime is 87072472033. The reversal of 87072472032 is 23027427078.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87072472033) 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 47 ways as a sum of consecutive naturals, for example, 14420118 + ... + 14426154.

It is an arithmetic number, because the mean of its divisors is an integer number (990038784).

Almost surely, 2^87072472032 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 87072472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142565584896).

87072472032 is an abundant number, since it is smaller than the sum of its proper divisors (198058697760).

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

87072472032 is a wasteful number, since it uses less digits than its factorization.

87072472032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 87072472032 in words is "eighty-seven billion, seventy-two million, four hundred seventy-two thousand, thirty-two".