73188768 has 48 divisors (see below), whose sum is σ = 198326016. Its totient is φ = 23608320.

The previous prime is 73188767. The next prime is 73188769. The reversal of 73188768 is 86788137.

It is an interprime number because it is at equal distance from previous prime (73188767) and next prime (73188769).

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

It is a super-3 number, since 3×73188768³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73188761) 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, 9321 + ... + 15272.

It is an arithmetic number, because the mean of its divisors is an integer number (4131792).

Almost surely, 2^73188768 is an apocalyptic number.

It is an amenable number.

73188768 is an abundant number, since it is smaller than the sum of its proper divisors (125137248).

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

73188768 is a wasteful number, since it uses less digits than its factorization.

73188768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24637 (or 24629 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 73188768 is about 8555.0434247875. The cubic root of 73188768 is about 418.2938495280.

The spelling of 73188768 in words is "seventy-three million, one hundred eighty-eight thousand, seven hundred sixty-eight".