73078656 has 128 divisors (see below), whose sum is σ = 229263360. Its totient is φ = 20183040.

The previous prime is 73078627. The next prime is 73078669. The reversal of 73078656 is 65687037.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 82890 + ... + 83766.

It is an arithmetic number, because the mean of its divisors is an integer number (1791120).

Almost surely, 2^73078656 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 73078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114631680).

73078656 is an abundant number, since it is smaller than the sum of its proper divisors (156184704).

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

73078656 is a wasteful number, since it uses less digits than its factorization.

73078656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 73078656 is about 8548.6055003141. The cubic root of 73078656 is about 418.0839708289.

The spelling of 73078656 in words is "seventy-three million, seventy-eight thousand, six hundred fifty-six".