71751400 has 96 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 24111360.

The previous prime is 71751371. The next prime is 71751403. The reversal of 71751400 is 415717.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (71751403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73717 + ... + 74683.

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

Almost surely, 2^71751400 is an apocalyptic number.

71751400 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 71751400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

71751400 is an abundant number, since it is smaller than the sum of its proper divisors (122700440).

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

71751400 is a wasteful number, since it uses less digits than its factorization.

71751400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 71751400 is about 8470.6198120326. The cubic root of 71751400 is about 415.5374080024.

The spelling of 71751400 in words is "seventy-one million, seven hundred fifty-one thousand, four hundred".