61212672 has 168 divisors, whose sum is σ = 187985070. Its totient is φ = 19906560.

The previous prime is 61212653. The next prime is 61212691. The reversal of 61212672 is 27621216.

It is an interprime number because it is at equal distance from previous prime (61212653) and next prime (61212691).

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 746496 = 7776^2 + 864^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492972 + ... + 1493012.

Almost surely, 2^61212672 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 61212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93992535).

61212672 is an abundant number, since it is smaller than the sum of its proper divisors (126772398).

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

61212672 is an frugal number, since it uses more digits than its factorization.

61212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 61212672 is about 7823.8527593507. The cubic root of 61212672 is about 394.1066645855.

Adding to 61212672 its reverse (27621216), we get a palindrome (88833888).

The spelling of 61212672 in words is "sixty-one million, two hundred twelve thousand, six hundred seventy-two".