88200672 has 48 divisors (see below), whose sum is σ = 264604032. Its totient is φ = 25200000.

The previous prime is 88200667. The next prime is 88200677. The reversal of 88200672 is 27600288.

It is an interprime number because it is at equal distance from previous prime (88200667) and next prime (88200677).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88200677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64954 + ... + 66297.

It is an arithmetic number, because the mean of its divisors is an integer number (5512584).

Almost surely, 2^88200672 is an apocalyptic number.

It is an amenable number.

88200672 is an abundant number, since it is smaller than the sum of its proper divisors (176403360).

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

88200672 is a wasteful number, since it uses less digits than its factorization.

88200672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131271 (or 131263 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 88200672 is about 9391.5212825186. The cubic root of 88200672 is about 445.1338603312.

The spelling of 88200672 in words is "eighty-eight million, two hundred thousand, six hundred seventy-two".