71727040 has 224 divisors, whose sum is σ = 221211648. Its totient is φ = 21504000.

The previous prime is 71727017. The next prime is 71727043. The reversal of 71727040 is 4072717.

It is a tau number, because it is divible by the number of its divisors (224).

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 (71727043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010205 + ... + 1010275.

It is an arithmetic number, because the mean of its divisors is an integer number (987552).

Almost surely, 2^71727040 is an apocalyptic number.

71727040 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 71727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

71727040 is an abundant number, since it is smaller than the sum of its proper divisors (149484608).

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

71727040 is a wasteful number, since it uses less digits than its factorization.

71727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 71727040 is about 8469.1817786608. The cubic root of 71727040 is about 415.4903769246.

Adding to 71727040 its reverse (4072717), we get a palindrome (75799757).

The spelling of 71727040 in words is "seventy-one million, seven hundred twenty-seven thousand, forty".