76241144 has 64 divisors (see below), whose sum is σ = 169344000. Its totient is φ = 31503744.

The previous prime is 76241117. The next prime is 76241147. The reversal of 76241144 is 44114267.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76241147) 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 15 ways as a sum of consecutive naturals, for example, 218282 + ... + 218630.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^76241144 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 76241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672000).

76241144 is an abundant number, since it is smaller than the sum of its proper divisors (93102856).

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

76241144 is a wasteful number, since it uses less digits than its factorization.

76241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 76241144 is about 8731.6174904768. The cubic root of 76241144 is about 424.0298869404.

The spelling of 76241144 in words is "seventy-six million, two hundred forty-one thousand, one hundred forty-four".