73761168 has 80 divisors (see below), whose sum is σ = 210056000. Its totient is φ = 22159872.

The previous prime is 73761167. The next prime is 73761197. The reversal of 73761168 is 86116737.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (73761167) 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, 25458 + ... + 28206.

It is an arithmetic number, because the mean of its divisors is an integer number (2625700).

Almost surely, 2^73761168 is an apocalyptic number.

73761168 is a gapful number since it is divisible by the number (78) 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 73761168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105028000).

73761168 is an abundant number, since it is smaller than the sum of its proper divisors (136294832).

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

73761168 is a wasteful number, since it uses less digits than its factorization.

73761168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2810 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 73761168 is about 8588.4322201436. The cubic root of 73761168 is about 419.3814932404.

It can be divided in two parts, 7376 and 1168, that multiplied together give a palindrome (8615168).

The spelling of 73761168 in words is "seventy-three million, seven hundred sixty-one thousand, one hundred sixty-eight".