7201872 has 50 divisors (see below), whose sum is σ = 20848058. Its totient is φ = 2400192.

The previous prime is 7201871. The next prime is 7201919. The reversal of 7201872 is 2781027.

It can be written as a sum of positive squares in only one way, i.e., 7096896 + 104976 = 2664^2 + 324^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7201871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1483 + ... + 4074.

Almost surely, 2^7201872 is an apocalyptic number.

7201872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7201872 is an abundant number, since it is smaller than the sum of its proper divisors (13646186).

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

7201872 is a wasteful number, since it uses less digits than its factorization.

7201872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 7201872 is about 2683.6303769335. The cubic root of 7201872 is about 193.1146106203.

Adding to 7201872 its reverse (2781027), we get a palindrome (9982899).

The spelling of 7201872 in words is "seven million, two hundred one thousand, eight hundred seventy-two".