87265152 has 96 divisors (see below), whose sum is σ = 270477480. Its totient is φ = 26846208.

The previous prime is 87265141. The next prime is 87265163. The reversal of 87265152 is 25156278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87265141) and next prime (87265163).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12063 + ... + 17889.

Almost surely, 2^87265152 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 87265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135238740).

87265152 is an abundant number, since it is smaller than the sum of its proper divisors (183212328).

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

87265152 is a wasteful number, since it uses less digits than its factorization.

87265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5845 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 87265152 is about 9341.5818788897. The cubic root of 87265152 is about 443.5544593204.

The spelling of 87265152 in words is "eighty-seven million, two hundred sixty-five thousand, one hundred fifty-two".