73428768 has 288 divisors, whose sum is σ = 264176640. Its totient is φ = 19595520.

The previous prime is 73428767. The next prime is 73428769. The reversal of 73428768 is 86782437.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73428767) and next prime (73428769).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73428767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034173 + ... + 1034243.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^73428768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

73428768 is an abundant number, since it is smaller than the sum of its proper divisors (190747872).

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

73428768 is a wasteful number, since it uses less digits than its factorization.

73428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 73428768 is about 8569.0587581134. The cubic root of 73428768 is about 418.7505725692.

It can be divided in two parts, 7342 and 8768, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 73428768 in words is "seventy-three million, four hundred twenty-eight thousand, seven hundred sixty-eight".