87672042 has 48 divisors (see below), whose sum is σ = 200772000. Its totient is φ = 27572832.

The previous prime is 87672019. The next prime is 87672071. The reversal of 87672042 is 24027678.

It is a junction number, because it is equal to n+sod(n) for n = 87671988 and 87672006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132709 + ... + 133367.

It is an arithmetic number, because the mean of its divisors is an integer number (4182750).

Almost surely, 2^87672042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87672042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100386000).

87672042 is an abundant number, since it is smaller than the sum of its proper divisors (113099958).

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

87672042 is a wasteful number, since it uses less digits than its factorization.

87672042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

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

The square root of 87672042 is about 9363.3349827933. The cubic root of 87672042 is about 444.2427756770.

The spelling of 87672042 in words is "eighty-seven million, six hundred seventy-two thousand, forty-two".