88172800 has 108 divisors (see below), whose sum is σ = 228110400. Its totient is φ = 33679360.

The previous prime is 88172779. The next prime is 88172807. The reversal of 88172800 is 827188.

It is not an unprimeable number, because it can be changed into a prime (88172807) 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, 146901 + ... + 147499.

Almost surely, 2^88172800 is an apocalyptic number.

88172800 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 88172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

88172800 is an abundant number, since it is smaller than the sum of its proper divisors (139937600).

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

88172800 is a wasteful number, since it uses less digits than its factorization.

88172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 88172800 is about 9390.0372736214. The cubic root of 88172800 is about 445.0869669695.

Adding to 88172800 its reverse (827188), we get a palindrome (88999988).

The spelling of 88172800 in words is "eighty-eight million, one hundred seventy-two thousand, eight hundred".