95526720 has 168 divisors, whose sum is σ = 337002120. Its totient is φ = 24821760.

The previous prime is 95526719. The next prime is 95526763. The reversal of 95526720 is 2762559.

It can be written as a sum of positive squares in 4 ways, for example, as 6110784 + 89415936 = 2472^2 + 9456^2 .

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117676 + ... + 118484.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965).

Almost surely, 2^95526720 is an apocalyptic number.

95526720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168501060).

95526720 is an abundant number, since it is smaller than the sum of its proper divisors (241475400).

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

95526720 is a wasteful number, since it uses less digits than its factorization.

95526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 95526720 is about 9773.7771613640. Note that the first 3 decimals coincide. The cubic root of 95526720 is about 457.1319982540.

The spelling of 95526720 in words is "ninety-five million, five hundred twenty-six thousand, seven hundred twenty".