73640960 has 88 divisors (see below), whose sum is σ = 186195120. Its totient is φ = 27869184.

The previous prime is 73640953. The next prime is 73640971. The reversal of 73640960 is 6904637.

It is a self number, because there is not a number n which added to its sum of digits gives 73640960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96902 + ... + 97658.

Almost surely, 2^73640960 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 73640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93097560).

73640960 is an abundant number, since it is smaller than the sum of its proper divisors (112554160).

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

73640960 is a wasteful number, since it uses less digits than its factorization.

73640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 73640960 is about 8581.4311160785. The cubic root of 73640960 is about 419.1535484531.

The spelling of 73640960 in words is "seventy-three million, six hundred forty thousand, nine hundred sixty".