41973792 has 72 divisors (see below), whose sum is σ = 128184336. Its totient is φ = 11991168.

The previous prime is 41973761. The next prime is 41973809. The reversal of 41973792 is 29737914.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 11 ways as a sum of consecutive naturals, for example, 243 + ... + 9165.

It is an arithmetic number, because the mean of its divisors is an integer number (1780338).

Almost surely, 2^41973792 is an apocalyptic number.

41973792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41973792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64092168).

41973792 is an abundant number, since it is smaller than the sum of its proper divisors (86210544).

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

41973792 is a wasteful number, since it uses less digits than its factorization.

41973792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8950 (or 8935 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 41973792 is about 6478.7183917809. The cubic root of 41973792 is about 347.5303480905.

The spelling of 41973792 in words is "forty-one million, nine hundred seventy-three thousand, seven hundred ninety-two".