61819272 has 48 divisors (see below), whose sum is σ = 169104780. Its totient is φ = 20400000.

The previous prime is 61819231. The next prime is 61819309. The reversal of 61819272 is 27291816.

61819272 is a `hidden beast` number, since 618 + 19 + 27 + 2 = 666.

61819272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61685316 + 133956 = 7854^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3022 + ... + 11522.

Almost surely, 2^61819272 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 61819272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84552390).

61819272 is an abundant number, since it is smaller than the sum of its proper divisors (107285508).

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

61819272 is a wasteful number, since it uses less digits than its factorization.

61819272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8607 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 61819272 is about 7862.5232591071. The cubic root of 61819272 is about 395.4042158122.

It can be divided in two parts, 6 and 1819272, that added together give a triangular number (1819278 = T₁₉₀₇).

The spelling of 61819272 in words is "sixty-one million, eight hundred nineteen thousand, two hundred seventy-two".