61738272 has 54 divisors (see below), whose sum is σ = 175948227. Its totient is φ = 20534976.

The previous prime is 61738253. The next prime is 61738273. The reversal of 61738272 is 27283716.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61738272 is a `hidden beast` number, since 617 + 38 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30869136 + 30869136 = 5556^2 + 5556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5556.

It is a super-2 number, since 2×61738272² = 7623228459091968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61738273) 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 8 ways as a sum of consecutive naturals, for example, 133113 + ... + 133575.

Almost surely, 2^61738272 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 61738272

61738272 is an abundant number, since it is smaller than the sum of its proper divisors (114209955).

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

61738272 is an equidigital number, since it uses as much as digits as its factorization.

61738272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 468 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 61738272 is about 7857.3705525449. The cubic root of 61738272 is about 395.2314447708.

The spelling of 61738272 in words is "sixty-one million, seven hundred thirty-eight thousand, two hundred seventy-two".