88648272 has 60 divisors (see below), whose sum is σ = 250915860. Its totient is φ = 29213184.

The previous prime is 88648271. The next prime is 88648297. The reversal of 88648272 is 27284688.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 52359696 = 6024^2 + 7236^2 .

It is a super-2 number, since 2×88648272² = 15717032257171968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88648271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9358 + ... + 16274.

It is an arithmetic number, because the mean of its divisors is an integer number (4181931).

Almost surely, 2^88648272 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 88648272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125457930).

88648272 is an abundant number, since it is smaller than the sum of its proper divisors (162267588).

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

88648272 is a wasteful number, since it uses less digits than its factorization.

88648272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7011 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 88648272 is about 9415.3211310077. The cubic root of 88648272 is about 445.8855773017.

The spelling of 88648272 in words is "eighty-eight million, six hundred forty-eight thousand, two hundred seventy-two".