88172544 has 96 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 28901376.

The previous prime is 88172519. The next prime is 88172569. The reversal of 88172544 is 44527188.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88172519) and next prime (88172569).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694209 + ... + 694335.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^88172544 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 88172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

88172544 is an abundant number, since it is smaller than the sum of its proper divisors (150844416).

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

88172544 is a wasteful number, since it uses less digits than its factorization.

88172544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 88172544 is about 9390.0236421428. The cubic root of 88172544 is about 445.0865362154.

The spelling of 88172544 in words is "eighty-eight million, one hundred seventy-two thousand, five hundred forty-four".