74853312 has 168 divisors, whose sum is σ = 224576640. Its totient is φ = 21934080.

The previous prime is 74853287. The next prime is 74853319. The reversal of 74853312 is 21335847.

74853312 = T₁₂₈ + T₁₂₉ + ... + T₇₆₆.

Its product of digits (20160) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74853319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054237 + ... + 1054307.

Almost surely, 2^74853312 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 74853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112288320).

74853312 is an abundant number, since it is smaller than the sum of its proper divisors (149723328).

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

74853312 is a wasteful number, since it uses less digits than its factorization.

74853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 74853312 is about 8651.7808571415. The cubic root of 74853312 is about 421.4412166545.

The spelling of 74853312 in words is "seventy-four million, eight hundred fifty-three thousand, three hundred twelve".