73956080 has 80 divisors (see below), whose sum is σ = 193701888. Its totient is φ = 26016000.

The previous prime is 73956079. The next prime is 73956083. The reversal of 73956080 is 8065937.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73956083) 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, 25925 + ... + 28635.

Almost surely, 2^73956080 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 73956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96850944).

73956080 is an abundant number, since it is smaller than the sum of its proper divisors (119745808).

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

73956080 is a wasteful number, since it uses less digits than its factorization.

73956080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 73956080 is about 8599.7720900033. The cubic root of 73956080 is about 419.7505699626.

The spelling of 73956080 in words is "seventy-three million, nine hundred fifty-six thousand, eighty".