88200072 has 48 divisors (see below), whose sum is σ = 239382000. Its totient is φ = 29337696.

The previous prime is 88200043. The next prime is 88200127. The reversal of 88200072 is 27000288.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43579 + ... + 45557.

It is an arithmetic number, because the mean of its divisors is an integer number (4987125).

Almost surely, 2^88200072 is an apocalyptic number.

It is an amenable number.

88200072 is an abundant number, since it is smaller than the sum of its proper divisors (151181928).

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

88200072 is a wasteful number, since it uses less digits than its factorization.

88200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 88200072 is about 9391.4893387577. The cubic root of 88200072 is about 445.1328509628.

The spelling of 88200072 in words is "eighty-eight million, two hundred thousand, seventy-two".