87248672 has 48 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 37224960.

The previous prime is 87248671. The next prime is 87248719. The reversal of 87248672 is 27684278.

It is a super-2 number, since 2×87248672² = 15224661531527168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87248671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58172 + ... + 59652.

It is an arithmetic number, because the mean of its divisors is an integer number (4108104).

Almost surely, 2^87248672 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 87248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

87248672 is an abundant number, since it is smaller than the sum of its proper divisors (109940320).

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

87248672 is a wasteful number, since it uses less digits than its factorization.

87248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1753 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 87248672 is about 9340.6997596540. The cubic root of 87248672 is about 443.5265358500.

The spelling of 87248672 in words is "eighty-seven million, two hundred forty-eight thousand, six hundred seventy-two".