727272 has 128 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 186624.

The previous prime is 727271. The next prime is 727273. The reversal of 727272 is 272727.

It is an interprime number because it is at equal distance from previous prime (727271) and next prime (727273).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

727272 is an undulating number in base 10.

727272 is a modest number, since divided by 7272 gives 72 as remainder.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (727271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19638 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2⁷²⁷²⁷² is an apocalyptic number.

727272 is a gapful number since it is divisible by the number (72) 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 727272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

727272 is an abundant number, since it is smaller than the sum of its proper divisors (1826328).

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

727272 is a wasteful number, since it uses less digits than its factorization.

727272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 2744, while the sum is 27.

The square root of 727272 is about 852.8024390209. The cubic root of 727272 is about 89.9288326282.

Adding to 727272 its reverse (272727), we get a palindrome (999999).

It can be divided in two parts, 727 and 272, that added together give a palindrome (999).

The spelling of 727272 in words is "seven hundred twenty-seven thousand, two hundred seventy-two", and thus it is an iban number.