71738436 has 96 divisors (see below), whose sum is σ = 221018112. Its totient is φ = 17533440.

The previous prime is 71738423. The next prime is 71738461. The reversal of 71738436 is 63483717.

It is a junction number, because it is equal to n+sod(n) for n = 71738394 and 71738403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13425 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (2302272).

Almost surely, 2^71738436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71738436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110509056).

71738436 is an abundant number, since it is smaller than the sum of its proper divisors (149279676).

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

71738436 is a wasteful number, since it uses less digits than its factorization.

71738436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4607 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 71738436 is about 8469.8545442056. The cubic root of 71738436 is about 415.5123801449.

The spelling of 71738436 in words is "seventy-one million, seven hundred thirty-eight thousand, four hundred thirty-six".