88251072 has 112 divisors (see below), whose sum is σ = 287438592. Its totient is φ = 23270400.

The previous prime is 88251071. The next prime is 88251169. The reversal of 88251072 is 27015288.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88251071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14947 + ... + 19997.

It is an arithmetic number, because the mean of its divisors is an integer number (2566416).

Almost surely, 2^88251072 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 88251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143719296).

88251072 is an abundant number, since it is smaller than the sum of its proper divisors (199187520).

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

88251072 is a wasteful number, since it uses less digits than its factorization.

88251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 88251072 is about 9394.2041706576. The cubic root of 88251072 is about 445.2186309426.

The spelling of 88251072 in words is "eighty-eight million, two hundred fifty-one thousand, seventy-two".