71233400 has 192 divisors, whose sum is σ = 208111680. Its totient is φ = 22118400.

The previous prime is 71233397. The next prime is 71233403. The reversal of 71233400 is 433217.

It is an interprime number because it is at equal distance from previous prime (71233397) and next prime (71233403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71233403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975764 + ... + 975836.

It is an arithmetic number, because the mean of its divisors is an integer number (1083915).

Almost surely, 2^71233400 is an apocalyptic number.

71233400 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 71233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104055840).

71233400 is an abundant number, since it is smaller than the sum of its proper divisors (136878280).

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

71233400 is a wasteful number, since it uses less digits than its factorization.

71233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 71233400 is about 8439.9881516505. The cubic root of 71233400 is about 414.5350189623.

Adding to 71233400 its reverse (433217), we get a palindrome (71666617).

The spelling of 71233400 in words is "seventy-one million, two hundred thirty-three thousand, four hundred".