74878272 has 168 divisors, whose sum is σ = 250952000. Its totient is φ = 21337344.

The previous prime is 74878267. The next prime is 74878273. The reversal of 74878272 is 27287847.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74878273) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 197379 + ... + 197757.

Almost surely, 2^74878272 is an apocalyptic number.

74878272 is a gapful number since it is divisible by the number (72) 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 74878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125476000).

74878272 is an abundant number, since it is smaller than the sum of its proper divisors (176073728).

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

74878272 is a wasteful number, since it uses less digits than its factorization.

74878272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 391 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 74878272 is about 8653.2232145022. The cubic root of 74878272 is about 421.4880549462.

The spelling of 74878272 in words is "seventy-four million, eight hundred seventy-eight thousand, two hundred seventy-two".