71974280 has 128 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 22954752.

The previous prime is 71974247. The next prime is 71974297. The reversal of 71974280 is 8247917.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 441479 + ... + 441641.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^71974280 is an apocalyptic number.

71974280 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 71974280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

71974280 is an abundant number, since it is smaller than the sum of its proper divisors (126400120).

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

71974280 is a wasteful number, since it uses less digits than its factorization.

71974280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 71974280 is about 8483.7656733316. The cubic root of 71974280 is about 415.9672218996.

The spelling of 71974280 in words is "seventy-one million, nine hundred seventy-four thousand, two hundred eighty".