61356672 has 192 divisors, whose sum is σ = 202161960. Its totient is φ = 17694720.

The previous prime is 61356661. The next prime is 61356677. The reversal of 61356672 is 27665316.

It can be written as a sum of positive squares in 4 ways, for example, as 55711296 + 5645376 = 7464^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (61356677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254472 + ... + 254712.

Almost surely, 2^61356672 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 61356672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101080980).

61356672 is an abundant number, since it is smaller than the sum of its proper divisors (140805288).

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

61356672 is a wasteful number, since it uses less digits than its factorization.

61356672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 61356672 is about 7833.0499806908. The cubic root of 61356672 is about 394.4154618452.

The spelling of 61356672 in words is "sixty-one million, three hundred fifty-six thousand, six hundred seventy-two".