72667936 has 48 divisors (see below), whose sum is σ = 159733728. Its totient is φ = 32256000.

The previous prime is 72667919. The next prime is 72667943. The reversal of 72667936 is 63976627.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12736 + ... + 17536.

It is an arithmetic number, because the mean of its divisors is an integer number (3327786).

Almost surely, 2^72667936 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 72667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79866864).

72667936 is an abundant number, since it is smaller than the sum of its proper divisors (87065792).

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

72667936 is a wasteful number, since it uses less digits than its factorization.

72667936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4857 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The square root of 72667936 is about 8524.5490203295. The cubic root of 72667936 is about 417.2992540116.

The spelling of 72667936 in words is "seventy-two million, six hundred sixty-seven thousand, nine hundred thirty-six".