61879272 has 128 divisors (see below), whose sum is σ = 197164800. Its totient is φ = 15740928.

The previous prime is 61879271. The next prime is 61879273. The reversal of 61879272 is 27297816.

61879272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61879271) and next prime (61879273).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (61879271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62848 + ... + 63824.

It is an arithmetic number, because the mean of its divisors is an integer number (1540350).

Almost surely, 2^61879272 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 61879272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98582400).

61879272 is an abundant number, since it is smaller than the sum of its proper divisors (135285528).

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

61879272 is a wasteful number, since it uses less digits than its factorization.

61879272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 61879272 is about 7866.3379027347. The cubic root of 61879272 is about 395.5320970859.

The spelling of 61879272 in words is "sixty-one million, eight hundred seventy-nine thousand, two hundred seventy-two".