73493784 has 128 divisors (see below), whose sum is σ = 251328000. Its totient is φ = 19377792.

The previous prime is 73493773. The next prime is 73493789. The reversal of 73493784 is 48739437.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73493789) 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 31 ways as a sum of consecutive naturals, for example, 17787 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (1963500).

Almost surely, 2^73493784 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 73493784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125664000).

73493784 is an abundant number, since it is smaller than the sum of its proper divisors (177834216).

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

73493784 is a wasteful number, since it uses less digits than its factorization.

73493784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3764 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 73493784 is about 8572.8515675941. The cubic root of 73493784 is about 418.8741274851.

The spelling of 73493784 in words is "seventy-three million, four hundred ninety-three thousand, seven hundred eighty-four".