73042656 has 96 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 23553024.

The previous prime is 73042609. The next prime is 73042661. The reversal of 73042656 is 65624037.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 709101 + ... + 709203.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^73042656 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 73042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

73042656 is an abundant number, since it is smaller than the sum of its proper divisors (125089824).

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

73042656 is a wasteful number, since it uses less digits than its factorization.

73042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 73042656 is about 8546.4996343532. The cubic root of 73042656 is about 418.0153073918.

The spelling of 73042656 in words is "seventy-three million, forty-two thousand, six hundred fifty-six".