74513790 has 192 divisors, whose sum is σ = 227681280. Its totient is φ = 17297280.

The previous prime is 74513779. The next prime is 74513833. The reversal of 74513790 is 9731547.

It is a happy number.

74513790 is a `hidden beast` number, since 74 + 513 + 79 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049455 + ... + 1049525.

It is an arithmetic number, because the mean of its divisors is an integer number (1185840).

Almost surely, 2^74513790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74513790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113840640).

74513790 is an abundant number, since it is smaller than the sum of its proper divisors (153167490).

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

74513790 is a wasteful number, since it uses less digits than its factorization.

74513790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 74513790 is about 8632.1370471048. The cubic root of 74513790 is about 420.8030553868.

It can be divided in two parts, 745 and 13790, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 74513790 in words is "seventy-four million, five hundred thirteen thousand, seven hundred ninety".