74247264 has 144 divisors (see below), whose sum is σ = 259957152. Its totient is φ = 19574784.

The previous prime is 74247253. The next prime is 74247301. The reversal of 74247264 is 46274247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×74247264² = 11025312422971392, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24792 + ... + 27624.

It is an arithmetic number, because the mean of its divisors is an integer number (1805258).

Almost surely, 2^74247264 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 74247264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129978576).

74247264 is an abundant number, since it is smaller than the sum of its proper divisors (185709888).

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

74247264 is a wasteful number, since it uses less digits than its factorization.

74247264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2858 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 74247264 is about 8616.6852095223. The cubic root of 74247264 is about 420.3007369897.

The spelling of 74247264 in words is "seventy-four million, two hundred forty-seven thousand, two hundred sixty-four".