87343872 has 216 divisors, whose sum is σ = 296396352. Its totient is φ = 22579200.

The previous prime is 87343859. The next prime is 87343873. The reversal of 87343872 is 27834378.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87343873) 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, 413847 + ... + 414057.

Almost surely, 2^87343872 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 87343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148198176).

87343872 is an abundant number, since it is smaller than the sum of its proper divisors (209052480).

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

87343872 is a wasteful number, since it uses less digits than its factorization.

87343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 87343872 is about 9345.7943482617. The cubic root of 87343872 is about 443.6877928537.

The spelling of 87343872 in words is "eighty-seven million, three hundred forty-three thousand, eight hundred seventy-two".