74971260 has 288 divisors, whose sum is σ = 293529600. Its totient is φ = 15054336.

The previous prime is 74971201. The next prime is 74971261. The reversal of 74971260 is 6217947.

It is a happy number.

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 (74971261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376641 + ... + 376839.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 2^74971260 is an apocalyptic number.

74971260 is a gapful number since it is divisible by the number (70) 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 74971260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

74971260 is an abundant number, since it is smaller than the sum of its proper divisors (218558340).

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

74971260 is a wasteful number, since it uses less digits than its factorization.

74971260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 74971260 is about 8658.5945741789. The cubic root of 74971260 is about 421.6624585359.

The spelling of 74971260 in words is "seventy-four million, nine hundred seventy-one thousand, two hundred sixty".