71404800 has 108 divisors (see below), whose sum is σ = 235714080. Its totient is φ = 19036160.

The previous prime is 71404787. The next prime is 71404807. The reversal of 71404800 is 840417.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71404807) 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 11 ways as a sum of consecutive naturals, for example, 17341 + ... + 21059.

Almost surely, 2^71404800 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 71404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117857040).

71404800 is an abundant number, since it is smaller than the sum of its proper divisors (164309280).

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

71404800 is a wasteful number, since it uses less digits than its factorization.

71404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 71404800 is about 8450.1360935786. The cubic root of 71404800 is about 414.8672338645.

The spelling of 71404800 in words is "seventy-one million, four hundred four thousand, eight hundred".