73681740 has 216 divisors, whose sum is σ = 261424800. Its totient is φ = 16727040.

The previous prime is 73681739. The next prime is 73681781. The reversal of 73681740 is 4718637.

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

It is a junction number, because it is equal to n+sod(n) for n = 73681695 and 73681704.

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 71 ways as a sum of consecutive naturals, for example, 370161 + ... + 370359.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 2^73681740 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 73681740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

73681740 is an abundant number, since it is smaller than the sum of its proper divisors (187743060).

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

73681740 is a wasteful number, since it uses less digits than its factorization.

73681740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73681740 is about 8583.8068477803. The cubic root of 73681740 is about 419.2309054361.

The spelling of 73681740 in words is "seventy-three million, six hundred eighty-one thousand, seven hundred forty".