7272580 has 72 divisors (see below), whose sum is σ = 18299736. Its totient is φ = 2419200.

The previous prime is 7272563. The next prime is 7272581. The reversal of 7272580 is 852727.

7272580 = T₅₇₅ + T₅₇₆ + ... + T₆₁₅.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 6635776 = 798^2 + 2576^2 .

It is not an unprimeable number, because it can be changed into a prime (7272581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40090 + ... + 40270.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 2^7272580 is an apocalyptic number.

7272580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7272580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

7272580 is an abundant number, since it is smaller than the sum of its proper divisors (11027156).

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

7272580 is a wasteful number, since it uses less digits than its factorization.

7272580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 7272580 is about 2696.7721446203. The cubic root of 7272580 is about 193.7445534369.

The spelling of 7272580 in words is "seven million, two hundred seventy-two thousand, five hundred eighty".