87672240 has 160 divisors (see below), whose sum is σ = 310426560. Its totient is φ = 22726656.

The previous prime is 87672217. The next prime is 87672241. The reversal of 87672240 is 4227678.

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

It is a junction number, because it is equal to n+sod(n) for n = 87672195 and 87672204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87672241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79372 + ... + 80468.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166).

Almost surely, 2^87672240 is an apocalyptic number.

87672240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155213280).

87672240 is an abundant number, since it is smaller than the sum of its proper divisors (222754320).

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

87672240 is a wasteful number, since it uses less digits than its factorization.

87672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87672240 is about 9363.3455559431. The cubic root of 87672240 is about 444.2431101052.

The spelling of 87672240 in words is "eighty-seven million, six hundred seventy-two thousand, two hundred forty".