74509120 has 224 divisors, whose sum is σ = 222382080. Its totient is φ = 23224320.

The previous prime is 74509103. The next prime is 74509133. The reversal of 74509120 is 2190547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2013742 + ... + 2013778.

Almost surely, 2^74509120 is an apocalyptic number.

74509120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111191040).

74509120 is an abundant number, since it is smaller than the sum of its proper divisors (147872960).

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

74509120 is a wasteful number, since it uses less digits than its factorization.

74509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 74509120 is about 8631.8665420638. The cubic root of 74509120 is about 420.7942642117.

Adding to 74509120 its reverse (2190547), we get a palindrome (76699667).

The spelling of 74509120 in words is "seventy-four million, five hundred nine thousand, one hundred twenty".