71422400 has 126 divisors (see below), whose sum is σ = 204661008. Its totient is φ = 24460800.

The previous prime is 71422381. The next prime is 71422433. The reversal of 71422400 is 422417.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77945 + ... + 78855.

Almost surely, 2^71422400 is an apocalyptic number.

71422400 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 71422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102330504).

71422400 is an abundant number, since it is smaller than the sum of its proper divisors (133238608).

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

71422400 is a wasteful number, since it uses less digits than its factorization.

71422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 71422400 is about 8451.1774327605. The cubic root of 71422400 is about 414.9013168369.

Adding to 71422400 its reverse (422417), we get a palindrome (71844817).

The spelling of 71422400 in words is "seventy-one million, four hundred twenty-two thousand, four hundred".