71444100 has 144 divisors (see below), whose sum is σ = 254511488. Its totient is φ = 15068160.

The previous prime is 71444083. The next prime is 71444101. The reversal of 71444100 is 144417.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (71444101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25992 + ... + 28608.

Almost surely, 2^71444100 is an apocalyptic number.

71444100 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 71444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127255744).

71444100 is an abundant number, since it is smaller than the sum of its proper divisors (183067388).

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

71444100 is a wasteful number, since it uses less digits than its factorization.

71444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 71444100 is about 8452.4611800351. The cubic root of 71444100 is about 414.9433318859.

Adding to 71444100 its reverse (144417), we get a palindrome (71588517).

The spelling of 71444100 in words is "seventy-one million, four hundred forty-four thousand, one hundred".