72657280 has 64 divisors (see below), whose sum is σ = 175484880. Its totient is φ = 28764160.

The previous prime is 72657271. The next prime is 72657281. The reversal of 72657280 is 8275627.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72657281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67950 + ... + 69010.

Almost surely, 2^72657280 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 72657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87742440).

72657280 is an abundant number, since it is smaller than the sum of its proper divisors (102827600).

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

72657280 is a wasteful number, since it uses less digits than its factorization.

72657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 72657280 is about 8523.9239790134. The cubic root of 72657280 is about 417.2788554769.

The spelling of 72657280 in words is "seventy-two million, six hundred fifty-seven thousand, two hundred eighty".