73681920 has 352 divisors, whose sum is σ = 288872640. Its totient is φ = 17694720.

The previous prime is 73681913. The next prime is 73681921. The reversal of 73681920 is 2918637.

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 (73681921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797100 + ... + 1797140.

Almost surely, 2^73681920 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 73681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

73681920 is an abundant number, since it is smaller than the sum of its proper divisors (215190720).

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

73681920 is a wasteful number, since it uses less digits than its factorization.

73681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73681920 is about 8583.8173326324. The cubic root of 73681920 is about 419.2312468210.

The spelling of 73681920 in words is "seventy-three million, six hundred eighty-one thousand, nine hundred twenty".