71727950 has 48 divisors (see below), whose sum is σ = 153323520. Its totient is φ = 24455520.

The previous prime is 71727937. The next prime is 71727959. The reversal of 71727950 is 5972717.

It is a super-2 number, since 2×71727950² = 10289797622405000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71727959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77591 + ... + 78509.

It is an arithmetic number, because the mean of its divisors is an integer number (3194240).

Almost surely, 2^71727950 is an apocalyptic number.

71727950 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71727950 is an abundant number, since it is smaller than the sum of its proper divisors (81595570).

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

71727950 is a wasteful number, since it uses less digits than its factorization.

71727950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 71727950 is about 8469.2355026885. The cubic root of 71727950 is about 415.4921340241.

The spelling of 71727950 in words is "seventy-one million, seven hundred twenty-seven thousand, nine hundred fifty".