72602240 has 64 divisors (see below), whose sum is σ = 183801960. Its totient is φ = 27328512.

The previous prime is 72602239. The next prime is 72602281. The reversal of 72602240 is 4220627.

It can be written as a sum of positive squares in 4 ways, for example, as 48553024 + 24049216 = 6968^2 + 4904^2 .

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

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, 7544 + ... + 14216.

Almost surely, 2^72602240 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 72602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91900980).

72602240 is an abundant number, since it is smaller than the sum of its proper divisors (111199720).

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

72602240 is a wasteful number, since it uses less digits than its factorization.

72602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 72602240 is about 8520.6948073499. The cubic root of 72602240 is about 417.1734619085.

Adding to 72602240 its reverse (4220627), we get a palindrome (76822867).

The spelling of 72602240 in words is "seventy-two million, six hundred two thousand, two hundred forty".