88727120 has 40 divisors (see below), whose sum is σ = 209130216. Its totient is φ = 35002368.

The previous prime is 88727087. The next prime is 88727143. The reversal of 88727120 is 2172788.

It can be written as a sum of positive squares in 4 ways, for example, as 35378704 + 53348416 = 5948^2 + 7304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1757 + ... + 13436.

Almost surely, 2^88727120 is an apocalyptic number.

88727120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88727120 is an abundant number, since it is smaller than the sum of its proper divisors (120403096).

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

88727120 is a wasteful number, since it uses less digits than its factorization.

88727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15279 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 88727120 is about 9419.5074181191. The cubic root of 88727120 is about 446.0177354246.

The spelling of 88727120 in words is "eighty-eight million, seven hundred twenty-seven thousand, one hundred twenty".