71477280 has 216 divisors, whose sum is σ = 284019372. Its totient is φ = 16321536.

The previous prime is 71477239. The next prime is 71477281. The reversal of 71477280 is 8277417.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 13046544 = 7644^2 + 3612^2 .

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 (71477281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70054 + ... + 71066.

Almost surely, 2^71477280 is an apocalyptic number.

71477280 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 71477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142009686).

71477280 is an abundant number, since it is smaller than the sum of its proper divisors (212542092).

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

71477280 is a wasteful number, since it uses less digits than its factorization.

71477280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 71477280 is about 8454.4236941379. The cubic root of 71477280 is about 415.0075578050.

The spelling of 71477280 in words is "seventy-one million, four hundred seventy-seven thousand, two hundred eighty".