87066672 has 80 divisors (see below), whose sum is σ = 280434432. Its totient is φ = 22613760.

The previous prime is 87066641. The next prime is 87066677. The reversal of 87066672 is 27666078.

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

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

It is not an unprimeable number, because it can be changed into a prime (87066677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8083 + ... + 15474.

Almost surely, 2^87066672 is an apocalyptic number.

It is an amenable number.

87066672 is an abundant number, since it is smaller than the sum of its proper divisors (193367760).

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

87066672 is a wasteful number, since it uses less digits than its factorization.

87066672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23586 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 87066672 is about 9330.9523629692. The cubic root of 87066672 is about 443.2179236149.

The spelling of 87066672 in words is "eighty-seven million, sixty-six thousand, six hundred seventy-two".