73712880 has 120 divisors (see below), whose sum is σ = 254334912. Its totient is φ = 19118592.

The previous prime is 73712857. The next prime is 73712887. The reversal of 73712880 is 8821737.

73712880 is a `hidden beast` number, since 7 + 371 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73712887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25257 + ... + 28023.

Almost surely, 2^73712880 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 73712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127167456).

73712880 is an abundant number, since it is smaller than the sum of its proper divisors (180622032).

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

73712880 is a wasteful number, since it uses less digits than its factorization.

73712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 73712880 is about 8585.6205366881. The cubic root of 73712880 is about 419.2899567547.

The spelling of 73712880 in words is "seventy-three million, seven hundred twelve thousand, eight hundred eighty".