61827272 has 32 divisors (see below), whose sum is σ = 125972280. Its totient is φ = 28277760.

The previous prime is 61827263. The next prime is 61827287. The reversal of 61827272 is 27272816.

It can be written as a sum of positive squares in 4 ways, for example, as 30846916 + 30980356 = 5554^2 + 5566^2 .

It is a super-2 number, since 2×61827272² = 7645223125923968, which contains 22 as substring.

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, 9122 + ... + 14382.

Almost surely, 2^61827272 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 61827272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62986140).

61827272 is an abundant number, since it is smaller than the sum of its proper divisors (64145008).

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

61827272 is a wasteful number, since it uses less digits than its factorization.

61827272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5389 counting only the distinct ones).

The product of its digits is 18816, while the sum is 35.

The square root of 61827272 is about 7863.0319851823. The cubic root of 61827272 is about 395.4212714282.

It can be divided in two parts, 618272 and 72, that multiplied together give a square (44515584 = 6672²).

The spelling of 61827272 in words is "sixty-one million, eight hundred twenty-seven thousand, two hundred seventy-two".