61056672 has 48 divisors (see below), whose sum is σ = 161334432. Its totient is φ = 20217600.

The previous prime is 61056659. The next prime is 61056683. The reversal of 61056672 is 27665016.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13047 + ... + 17097.

It is an arithmetic number, because the mean of its divisors is an integer number (3361134).

Almost surely, 2^61056672 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 61056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80667216).

61056672 is an abundant number, since it is smaller than the sum of its proper divisors (100277760).

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

61056672 is a wasteful number, since it uses less digits than its factorization.

61056672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 61056672 is about 7813.8768866677. The cubic root of 61056672 is about 393.7715872266.

The spelling of 61056672 in words is "sixty-one million, fifty-six thousand, six hundred seventy-two".