73648036 has 48 divisors (see below), whose sum is σ = 161344512. Its totient is φ = 28576800.

The previous prime is 73648031. The next prime is 73648037. The reversal of 73648036 is 63084637.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73647986 and 73648004.

It is not an unprimeable number, because it can be changed into a prime (73648031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149751 + ... + 150241.

It is an arithmetic number, because the mean of its divisors is an integer number (3361344).

Almost surely, 2^73648036 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 73648036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80672256).

73648036 is an abundant number, since it is smaller than the sum of its proper divisors (87696476).

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

73648036 is a wasteful number, since it uses less digits than its factorization.

73648036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 73648036 is about 8581.8433917195. The cubic root of 73648036 is about 419.1669732080.

It can be divided in two parts, 7364 and 8036, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 73648036 in words is "seventy-three million, six hundred forty-eight thousand, thirty-six".