74221264 has 40 divisors (see below), whose sum is σ = 156443112. Its totient is φ = 33907200.

The previous prime is 74221249. The next prime is 74221267. The reversal of 74221264 is 46212247.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28090000 + 46131264 = 5300^2 + 6792^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74221267) 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 7 ways as a sum of consecutive naturals, for example, 19242 + ... + 22774.

Almost surely, 2^74221264 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 74221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78221556).

74221264 is an abundant number, since it is smaller than the sum of its proper divisors (82221848).

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

74221264 is a wasteful number, since it uses less digits than its factorization.

74221264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3649 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 74221264 is about 8615.1763766043. The cubic root of 74221264 is about 420.2516707822.

The spelling of 74221264 in words is "seventy-four million, two hundred twenty-one thousand, two hundred sixty-four".