74853120 has 144 divisors (see below), whose sum is σ = 242680032. Its totient is φ = 19660800.

The previous prime is 74853073. The next prime is 74853131. The reversal of 74853120 is 2135847.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387744 + ... + 387936.

It is an arithmetic number, because the mean of its divisors is an integer number (1685278).

Almost surely, 2^74853120 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 74853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121340016).

74853120 is an abundant number, since it is smaller than the sum of its proper divisors (167826912).

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

74853120 is a wasteful number, since it uses less digits than its factorization.

74853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 74853120 is about 8651.7697611529. The cubic root of 74853120 is about 421.4408563196.

Adding to 74853120 its reverse (2135847), we get a palindrome (76988967).

The spelling of 74853120 in words is "seventy-four million, eight hundred fifty-three thousand, one hundred twenty".