61222272 has 128 divisors (see below), whose sum is σ = 173644800. Its totient is φ = 19077120.

The previous prime is 61222243. The next prime is 61222279. The reversal of 61222272 is 27222216.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1344) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61222279) 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 15 ways as a sum of consecutive naturals, for example, 440379 + ... + 440517.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2^61222272 is an apocalyptic number.

61222272 is a gapful number since it is divisible by the number (62) 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 61222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822400).

61222272 is an abundant number, since it is smaller than the sum of its proper divisors (112422528).

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

61222272 is a wasteful number, since it uses less digits than its factorization.

61222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 61222272 is about 7824.4662437766. The cubic root of 61222272 is about 394.1272661270.

Adding to 61222272 its reverse (27222216), we get a palindrome (88444488).

The spelling of 61222272 in words is "sixty-one million, two hundred twenty-two thousand, two hundred seventy-two".