74961540 has 72 divisors (see below), whose sum is σ = 228173400. Its totient is φ = 19920384.

The previous prime is 74961539. The next prime is 74961559. The reversal of 74961540 is 4516947.

It can be written as a sum of positive squares in 4 ways, for example, as 27185796 + 47775744 = 5214^2 + 6912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 74961495 and 74961504.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70936 + ... + 71984.

It is an arithmetic number, because the mean of its divisors is an integer number (3169075).

Almost surely, 2^74961540 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 74961540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114086700).

74961540 is an abundant number, since it is smaller than the sum of its proper divisors (153211860).

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

74961540 is a wasteful number, since it uses less digits than its factorization.

74961540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 74961540 is about 8658.0332639694. The cubic root of 74961540 is about 421.6442349471.

The spelling of 74961540 in words is "seventy-four million, nine hundred sixty-one thousand, five hundred forty".