71457400 has 96 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 23909760.

The previous prime is 71457391. The next prime is 71457403. The reversal of 71457400 is 475417.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71457403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59607 + ... + 60793.

It is an arithmetic number, because the mean of its divisors is an integer number (2025540).

Almost surely, 2^71457400 is an apocalyptic number.

71457400 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 71457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

71457400 is an abundant number, since it is smaller than the sum of its proper divisors (122994440).

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

71457400 is a wasteful number, since it uses less digits than its factorization.

71457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 71457400 is about 8453.2478965188. The cubic root of 71457400 is about 414.9690788400.

The spelling of 71457400 in words is "seventy-one million, four hundred fifty-seven thousand, four hundred".