74265427200 has 216 divisors, whose sum is σ = 253544709600. Its totient is φ = 19121070080.

The previous prime is 74265427193. The next prime is 74265427241. The reversal of 74265427200 is 272456247.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 490111 + ... + 623489.

It is an arithmetic number, because the mean of its divisors is an integer number (1173818100).

Almost surely, 2^74265427200 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 74265427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126772354800).

74265427200 is an abundant number, since it is smaller than the sum of its proper divisors (179279282400).

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

74265427200 is a wasteful number, since it uses less digits than its factorization.

74265427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133437 (or 133418 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 74265427200 in words is "seventy-four billion, two hundred sixty-five million, four hundred twenty-seven thousand, two hundred".