73711920 has 80 divisors (see below), whose sum is σ = 229529952. Its totient is φ = 19568640.

The previous prime is 73711919. The next prime is 73711927. The reversal of 73711920 is 2911737.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73711927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66894 + ... + 67986.

Almost surely, 2^73711920 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 73711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114764976).

73711920 is an abundant number, since it is smaller than the sum of its proper divisors (155818032).

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

73711920 is a wasteful number, since it uses less digits than its factorization.

73711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 73711920 is about 8585.5646290736. The cubic root of 73711920 is about 419.2881365387.

The spelling of 73711920 in words is "seventy-three million, seven hundred eleven thousand, nine hundred twenty".