88772544 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 24606720.

The previous prime is 88772539. The next prime is 88772549. The reversal of 88772544 is 44527788.

It is an interprime number because it is at equal distance from previous prime (88772539) and next prime (88772549).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 88772544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88772549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495847 + ... + 496025.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^88772544 is an apocalyptic number.

88772544 is a gapful number since it is divisible by the number (84) 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 88772544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

88772544 is an abundant number, since it is smaller than the sum of its proper divisors (218465856).

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

88772544 is a wasteful number, since it uses less digits than its factorization.

88772544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 88772544 is about 9421.9182760200. The cubic root of 88772544 is about 446.0938356189.

The spelling of 88772544 in words is "eighty-eight million, seven hundred seventy-two thousand, five hundred forty-four".