73896288 has 48 divisors (see below), whose sum is σ = 194503680. Its totient is φ = 24565376.

The previous prime is 73896287. The next prime is 73896307. The reversal of 73896288 is 88269837.

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

It is a super-2 number, since 2×73896288² = 10921322760357888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73896288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73896287) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45181 + ... + 46787.

It is an arithmetic number, because the mean of its divisors is an integer number (4052160).

Almost surely, 2^73896288 is an apocalyptic number.

It is an amenable number.

73896288 is an abundant number, since it is smaller than the sum of its proper divisors (120607392).

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

73896288 is a wasteful number, since it uses less digits than its factorization.

73896288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2091 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 73896288 is about 8596.2950158775. The cubic root of 73896288 is about 419.6374195054.

The spelling of 73896288 in words is "seventy-three million, eight hundred ninety-six thousand, two hundred eighty-eight".