87213672 has 384 divisors, whose sum is σ = 330220800. Its totient is φ = 20901888.

The previous prime is 87213647. The next prime is 87213691. The reversal of 87213672 is 27631278.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007354 + ... + 3007382.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^87213672 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 87213672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

87213672 is an abundant number, since it is smaller than the sum of its proper divisors (243007128).

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

87213672 is a wasteful number, since it uses less digits than its factorization.

87213672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 87213672 is about 9338.8260504198. The cubic root of 87213672 is about 443.4672206970.

The spelling of 87213672 in words is "eighty-seven million, two hundred thirteen thousand, six hundred seventy-two".