41760672 has 96 divisors (see below), whose sum is σ = 114125760. Its totient is φ = 13363200.

The previous prime is 41760671. The next prime is 41760713. The reversal of 41760672 is 27606714.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (41760671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413422 + ... + 413522.

It is an arithmetic number, because the mean of its divisors is an integer number (1188810).

Almost surely, 2^41760672 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 41760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062880).

41760672 is an abundant number, since it is smaller than the sum of its proper divisors (72365088).

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

41760672 is a wasteful number, since it uses less digits than its factorization.

41760672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 41760672 is about 6462.2497630469. The cubic root of 41760672 is about 346.9411599800.

The spelling of 41760672 in words is "forty-one million, seven hundred sixty thousand, six hundred seventy-two".