71286936 has 128 divisors (see below), whose sum is σ = 223948800. Its totient is φ = 18437760.

The previous prime is 71286923. The next prime is 71286937. The reversal of 71286936 is 63968217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71286937) 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, 72931 + ... + 73901.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^71286936 is an apocalyptic number.

71286936 is a gapful number since it is divisible by the number (76) 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 71286936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111974400).

71286936 is an abundant number, since it is smaller than the sum of its proper divisors (152661864).

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

71286936 is a wasteful number, since it uses less digits than its factorization.

71286936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1025 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 71286936 is about 8443.1591244036. The cubic root of 71286936 is about 414.6388419323.

The spelling of 71286936 in words is "seventy-one million, two hundred eighty-six thousand, nine hundred thirty-six".