61272072 has 64 divisors (see below), whose sum is σ = 170913600. Its totient is φ = 20338560.

The previous prime is 61272053. The next prime is 61272073. The reversal of 61272072 is 27027216.

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

It is not an unprimeable number, because it can be changed into a prime (61272073) 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, 71068 + ... + 71924.

It is an arithmetic number, because the mean of its divisors is an integer number (2670525).

Almost surely, 2^61272072 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 61272072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85456800).

61272072 is an abundant number, since it is smaller than the sum of its proper divisors (109641528).

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

61272072 is a wasteful number, since it uses less digits than its factorization.

61272072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 61272072 is about 7827.6479225882. The cubic root of 61272072 is about 394.2341020749.

Adding to 61272072 its reverse (27027216), we get a palindrome (88299288).

The spelling of 61272072 in words is "sixty-one million, two hundred seventy-two thousand, seventy-two".