73736040 has 128 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 16435200.

The previous prime is 73736029. The next prime is 73736053. The reversal of 73736040 is 4063737.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73735989 and 73736007.

It is an unprimeable number.

It is a nontrivial repunit in base 419.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33370 + ... + 35510.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^73736040 is an apocalyptic number.

73736040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73736040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

73736040 is an abundant number, since it is smaller than the sum of its proper divisors (185360280).

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

73736040 is a wasteful number, since it uses less digits than its factorization.

73736040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 73736040 is about 8586.9691975691. The cubic root of 73736040 is about 419.3338646786. Note that the first 3 decimals are identical.

Adding to 73736040 its reverse (4063737), we get a palindrome (77799777).

The spelling of 73736040 in words is "seventy-three million, seven hundred thirty-six thousand, forty".