72936936 has 96 divisors (see below), whose sum is σ = 217002240. Its totient is φ = 22871808.

The previous prime is 72936923. The next prime is 72936949. The reversal of 72936936 is 63963927.

It is an interprime number because it is at equal distance from previous prime (72936923) and next prime (72936949).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 72936891 and 72936900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31945 + ... + 34151.

It is an arithmetic number, because the mean of its divisors is an integer number (2260440).

Almost surely, 2^72936936 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 72936936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501120).

72936936 is an abundant number, since it is smaller than the sum of its proper divisors (144065304).

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

72936936 is a wasteful number, since it uses less digits than its factorization.

72936936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2229 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 72936936 is about 8540.3124064638. The cubic root of 72936936 is about 417.8135352633.

The spelling of 72936936 in words is "seventy-two million, nine hundred thirty-six thousand, nine hundred thirty-six".