74215040 has 64 divisors (see below), whose sum is σ = 180423720. Its totient is φ = 29184000.

The previous prime is 74215039. The next prime is 74215051. The reversal of 74215040 is 4051247.

74215040 = T₄₄₅ + T₄₄₆ + ... + T₈₁₀.

It can be written as a sum of positive squares in 4 ways, for example, as 20866624 + 53348416 = 4568^2 + 7304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 74214997 and 74215015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38090 + ... + 39990.

Almost surely, 2^74215040 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 74215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90211860).

74215040 is an abundant number, since it is smaller than the sum of its proper divisors (106208680).

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

74215040 is a wasteful number, since it uses less digits than its factorization.

74215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 74215040 is about 8614.8151460145. The cubic root of 74215040 is about 420.2399233872.

Adding to 74215040 its reverse (4051247), we get a palindrome (78266287).

The spelling of 74215040 in words is "seventy-four million, two hundred fifteen thousand, forty".