71413020 has 216 divisors, whose sum is σ = 262944864. Its totient is φ = 15365376.

The previous prime is 71413003. The next prime is 71413033. The reversal of 71413020 is 2031417.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 71412984 and 71413002.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 454782 + ... + 454938.

Almost surely, 2^71413020 is an apocalyptic number.

71413020 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 71413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472432).

71413020 is an abundant number, since it is smaller than the sum of its proper divisors (191531844).

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

71413020 is a wasteful number, since it uses less digits than its factorization.

71413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 71413020 is about 8450.6224622805. The cubic root of 71413020 is about 414.8831528587.

Adding to 71413020 its reverse (2031417), we get a palindrome (73444437).

The spelling of 71413020 in words is "seventy-one million, four hundred thirteen thousand, twenty".