73961160 has 192 divisors, whose sum is σ = 275114880. Its totient is φ = 15575040.

The previous prime is 73961149. The next prime is 73961227. The reversal of 73961160 is 6116937.

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 47 ways as a sum of consecutive naturals, for example, 141700 + ... + 142220.

It is an arithmetic number, because the mean of its divisors is an integer number (1432890).

Almost surely, 2^73961160 is an apocalyptic number.

73961160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73961160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137557440).

73961160 is an abundant number, since it is smaller than the sum of its proper divisors (201153720).

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

73961160 is a wasteful number, since it uses less digits than its factorization.

73961160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 73961160 is about 8600.0674415960. The cubic root of 73961160 is about 419.7601805498.

The spelling of 73961160 in words is "seventy-three million, nine hundred sixty-one thousand, one hundred sixty".