74278512 has 360 divisors, whose sum is σ = 282013200. Its totient is φ = 18627840.

The previous prime is 74278481. The next prime is 74278517. The reversal of 74278512 is 21587247.

74278512 is a `hidden beast` number, since 74 + 2 + 78 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74278517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2561314 + ... + 2561342.

It is an arithmetic number, because the mean of its divisors is an integer number (783370).

Almost surely, 2^74278512 is an apocalyptic number.

74278512 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 74278512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141006600).

74278512 is an abundant number, since it is smaller than the sum of its proper divisors (207734688).

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

74278512 is a wasteful number, since it uses less digits than its factorization.

74278512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 74278512 is about 8618.4982450541. The cubic root of 74278512 is about 420.3596918686.

The spelling of 74278512 in words is "seventy-four million, two hundred seventy-eight thousand, five hundred twelve".