74122560 has 224 divisors, whose sum is σ = 273588480. Its totient is φ = 18855936.

The previous prime is 74122549. The next prime is 74122571. The reversal of 74122560 is 6522147.

It is an interprime number because it is at equal distance from previous prime (74122549) and next prime (74122571).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198534 + ... + 198906.

Almost surely, 2^74122560 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 74122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136794240).

74122560 is an abundant number, since it is smaller than the sum of its proper divisors (199465920).

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

74122560 is a wasteful number, since it uses less digits than its factorization.

74122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 74122560 is about 8609.4459752065. The cubic root of 74122560 is about 420.0652959706.

The spelling of 74122560 in words is "seventy-four million, one hundred twenty-two thousand, five hundred sixty".