73484136 has 192 divisors, whose sum is σ = 232727040. Its totient is φ = 20736000.

The previous prime is 73484123. The next prime is 73484137. The reversal of 73484136 is 63148437.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48384) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 73484136.

It is not an unprimeable number, because it can be changed into a prime (73484137) 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 47 ways as a sum of consecutive naturals, for example, 1006596 + ... + 1006668.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 2^73484136 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 73484136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116363520).

73484136 is an abundant number, since it is smaller than the sum of its proper divisors (159242904).

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

73484136 is a wasteful number, since it uses less digits than its factorization.

73484136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 73484136 is about 8572.2888425437. The cubic root of 73484136 is about 418.8557972526.

The spelling of 73484136 in words is "seventy-three million, four hundred eighty-four thousand, one hundred thirty-six".