74137644 has 72 divisors (see below), whose sum is σ = 217421568. Its totient is φ = 20861280.

The previous prime is 74137643. The next prime is 74137681. The reversal of 74137644 is 44673147.

It is a happy number.

74137644 is a `hidden beast` number, since 7 + 4 + 1 + 3 + 7 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 74137599 and 74137608.

It is not an unprimeable number, because it can be changed into a prime (74137643) 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, 14689 + ... + 19079.

It is an arithmetic number, because the mean of its divisors is an integer number (3019744).

Almost surely, 2^74137644 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 74137644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108710784).

74137644 is an abundant number, since it is smaller than the sum of its proper divisors (143283924).

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

74137644 is a wasteful number, since it uses less digits than its factorization.

74137644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4470 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 74137644 is about 8610.3219452004. The cubic root of 74137644 is about 420.0937885787.

The spelling of 74137644 in words is "seventy-four million, one hundred thirty-seven thousand, six hundred forty-four".