87034752 has 192 divisors, whose sum is σ = 294053760. Its totient is φ = 24192000.

The previous prime is 87034729. The next prime is 87034769. The reversal of 87034752 is 25743078.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 346627 + ... + 346877.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^87034752 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 87034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

87034752 is an abundant number, since it is smaller than the sum of its proper divisors (207019008).

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

87034752 is a wasteful number, since it uses less digits than its factorization.

87034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 87034752 is about 9329.2417698332. The cubic root of 87034752 is about 443.1637534598.

The spelling of 87034752 in words is "eighty-seven million, thirty-four thousand, seven hundred fifty-two".