73496544 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 21964800.

The previous prime is 73496543. The next prime is 73496557. The reversal of 73496544 is 44569437.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 73496496 and 73496505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73496543) 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, 82984 + ... + 83864.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^73496544 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 73496544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

73496544 is an abundant number, since it is smaller than the sum of its proper divisors (139876896).

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

73496544 is a wasteful number, since it uses less digits than its factorization.

73496544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 976 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 73496544 is about 8573.0125393586. The cubic root of 73496544 is about 418.8793709132.

The spelling of 73496544 in words is "seventy-three million, four hundred ninety-six thousand, five hundred forty-four".