61774272 has 112 divisors (see below), whose sum is σ = 207589120. Its totient is φ = 17646336.

The previous prime is 61774267. The next prime is 61774283. The reversal of 61774272 is 27247716.

It is a happy number.

61774272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×61774272² = 7632121362259968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9543 + ... + 14649.

Almost surely, 2^61774272 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 61774272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103794560).

61774272 is an abundant number, since it is smaller than the sum of its proper divisors (145814848).

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

61774272 is a wasteful number, since it uses less digits than its factorization.

61774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5119 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 61774272 is about 7859.6610613944. The cubic root of 61774272 is about 395.3082505451.

The spelling of 61774272 in words is "sixty-one million, seven hundred seventy-four thousand, two hundred seventy-two".