72893440 has 88 divisors (see below), whose sum is σ = 182756160. Its totient is φ = 27844608.

The previous prime is 72893413. The next prime is 72893459. The reversal of 72893440 is 4439827.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72893440.

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, 117451 + ... + 118069.

Almost surely, 2^72893440 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 72893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

72893440 is an abundant number, since it is smaller than the sum of its proper divisors (109862720).

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

72893440 is a wasteful number, since it uses less digits than its factorization.

72893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 72893440 is about 8537.7655156370. The cubic root of 72893440 is about 417.7304642695.

The spelling of 72893440 in words is "seventy-two million, eight hundred ninety-three thousand, four hundred forty".