71358420 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 15240192.

The previous prime is 71358403. The next prime is 71358431. The reversal of 71358420 is 2485317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801736 + ... + 801824.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^71358420 is an apocalyptic number.

71358420 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 71358420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

71358420 is an abundant number, since it is smaller than the sum of its proper divisors (172496940).

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

71358420 is a wasteful number, since it uses less digits than its factorization.

71358420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 71358420 is about 8447.3913132990. The cubic root of 71358420 is about 414.7773906521. Note that the first 3 decimals are identical.

The spelling of 71358420 in words is "seventy-one million, three hundred fifty-eight thousand, four hundred twenty".