87756032 has 72 divisors (see below), whose sum is σ = 215650176. Its totient is φ = 34707456.

The previous prime is 87756029. The next prime is 87756037. The reversal of 87756032 is 23065778.

It is a happy number.

It is a super-2 number, since 2×87756032² = 15402242304770048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87756037) 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, 21413 + ... + 25179.

Almost surely, 2^87756032 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 87756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107825088).

87756032 is an abundant number, since it is smaller than the sum of its proper divisors (127894144).

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

87756032 is a wasteful number, since it uses less digits than its factorization.

87756032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 87756032 is about 9367.8189564060. The cubic root of 87756032 is about 444.3845922365.

The spelling of 87756032 in words is "eighty-seven million, seven hundred fifty-six thousand, thirty-two".