71254980 has 72 divisors (see below), whose sum is σ = 216844992. Its totient is φ = 18939456.

The previous prime is 71254979. The next prime is 71254987. The reversal of 71254980 is 8945217.

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

It is not an unprimeable number, because it can be changed into a prime (71254987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90147 + ... + 90933.

It is an arithmetic number, because the mean of its divisors is an integer number (3011736).

Almost surely, 2^71254980 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 71254980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108422496).

71254980 is an abundant number, since it is smaller than the sum of its proper divisors (145590012).

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

71254980 is a wasteful number, since it uses less digits than its factorization.

71254980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 71254980 is about 8441.2664926538. The cubic root of 71254980 is about 414.5768755563.

The spelling of 71254980 in words is "seventy-one million, two hundred fifty-four thousand, nine hundred eighty".