74736288 has 144 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 21888000.

The previous prime is 74736287. The next prime is 74736313. The reversal of 74736288 is 88263747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (74736283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97828 + ... + 98588.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^74736288 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 74736288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

74736288 is an abundant number, since it is smaller than the sum of its proper divisors (164909664).

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

74736288 is a wasteful number, since it uses less digits than its factorization.

74736288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 74736288 is about 8645.0152110913. The cubic root of 74736288 is about 421.2214781676.

The spelling of 74736288 in words is "seventy-four million, seven hundred thirty-six thousand, two hundred eighty-eight".