7272720100 has 36 divisors (see below), whose sum is σ = 15794215668. Its totient is φ = 2906800000.

The previous prime is 7272720089. The next prime is 7272720101. The reversal of 7272720100 is 10272727.

It can be written as a sum of positive squares in 6 ways, for example, as 386043904 + 6886676196 = 19648^2 + 82986^2 .

It is not an unprimeable number, because it can be changed into a prime (7272720101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102150 + ... + 158050.

It is an arithmetic number, because the mean of its divisors is an integer number (438728213).

Almost surely, 2^7272720100 is an apocalyptic number.

It is an amenable number.

7272720100 is an abundant number, since it is smaller than the sum of its proper divisors (8521495568).

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

7272720100 is a wasteful number, since it uses less digits than its factorization.

7272720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57216 (or 57209 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 7272720100 is about 85280.2444883925. The cubic root of 7272720100 is about 1937.4579753632.

Adding to 7272720100 its reverse (10272727), we get a palindrome (7282992827).

The spelling of 7272720100 in words is "seven billion, two hundred seventy-two million, seven hundred twenty thousand, one hundred".