88772320 has 216 divisors, whose sum is σ = 268118424. Its totient is φ = 27675648.

The previous prime is 88772311. The next prime is 88772329. The reversal of 88772320 is 2327788.

It is an interprime number because it is at equal distance from previous prime (88772311) and next prime (88772329).

It is a self number, because there is not a number n which added to its sum of digits gives 88772320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88772329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324927 + ... + 1324993.

It is an arithmetic number, because the mean of its divisors is an integer number (1241289).

Almost surely, 2^88772320 is an apocalyptic number.

88772320 is a gapful number since it is divisible by the number (80) 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 88772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134059212).

88772320 is an abundant number, since it is smaller than the sum of its proper divisors (179346104).

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

88772320 is a wasteful number, since it uses less digits than its factorization.

88772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 88772320 is about 9421.9063888366. The cubic root of 88772320 is about 446.0934604087.

The spelling of 88772320 in words is "eighty-eight million, seven hundred seventy-two thousand, three hundred twenty".