72640000 has 100 divisors (see below), whose sum is σ = 182163564. Its totient is φ = 28928000.

The previous prime is 72639979. The next prime is 72640019. The reversal of 72640000 is 4627.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 72640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319887 + ... + 320113.

Almost surely, 2^72640000 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 72640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91081782).

72640000 is an abundant number, since it is smaller than the sum of its proper divisors (109523564).

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

72640000 is an frugal number, since it uses more digits than its factorization.

72640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72640000 is about 8522.9103010650. The cubic root of 72640000 is about 417.2457725322.

Adding to 72640000 its reverse (4627), we get a palindrome (72644627).

The spelling of 72640000 in words is "seventy-two million, six hundred forty thousand".