74153268 has 108 divisors (see below), whose sum is σ = 220426752. Its totient is φ = 20956320.

The previous prime is 74153251. The next prime is 74153281. The reversal of 74153268 is 86235147.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223863 + ... + 224193.

Almost surely, 2^74153268 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 74153268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110213376).

74153268 is an abundant number, since it is smaller than the sum of its proper divisors (146273484).

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

74153268 is a wasteful number, since it uses less digits than its factorization.

74153268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 74153268 is about 8611.2291805526. The cubic root of 74153268 is about 420.1232971341.

The spelling of 74153268 in words is "seventy-four million, one hundred fifty-three thousand, two hundred sixty-eight".