88032720 has 80 divisors (see below), whose sum is σ = 277571520. Its totient is φ = 23073792.

The previous prime is 88032691. The next prime is 88032727. The reversal of 88032720 is 2723088.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88032727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11052 + ... + 17268.

It is an arithmetic number, because the mean of its divisors is an integer number (3469644).

Almost surely, 2^88032720 is an apocalyptic number.

88032720 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 88032720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138785760).

88032720 is an abundant number, since it is smaller than the sum of its proper divisors (189538800).

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

88032720 is a wasteful number, since it uses less digits than its factorization.

88032720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 88032720 is about 9382.5753394257. The cubic root of 88032720 is about 444.8511390317.

The spelling of 88032720 in words is "eighty-eight million, thirty-two thousand, seven hundred twenty".