73760144 has 20 divisors (see below), whose sum is σ = 151317324. Its totient is φ = 34710528.

The previous prime is 73760143. The next prime is 73760171. The reversal of 73760144 is 44106737.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56851600 + 16908544 = 7540^2 + 4112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73760144.

It is not an unprimeable number, because it can be changed into a prime (73760143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135317 + ... + 135860.

Almost surely, 2^73760144 is an apocalyptic number.

It is an amenable number.

73760144 is an abundant number, since it is smaller than the sum of its proper divisors (77557180).

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

73760144 is a wasteful number, since it uses less digits than its factorization.

73760144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271202 (or 271196 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 73760144 is about 8588.3726048653. The cubic root of 73760144 is about 419.3795525235.

The spelling of 73760144 in words is "seventy-three million, seven hundred sixty thousand, one hundred forty-four".