41762952 has 256 divisors, whose sum is σ = 151142400. Its totient is φ = 10497600.

The previous prime is 41762927. The next prime is 41762953. The reversal of 41762952 is 25926714.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41762953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347177 + ... + 1347207.

It is an arithmetic number, because the mean of its divisors is an integer number (590400).

Almost surely, 2^41762952 is an apocalyptic number.

41762952 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 41762952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571200).

41762952 is an abundant number, since it is smaller than the sum of its proper divisors (109379448).

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

41762952 is a wasteful number, since it uses less digits than its factorization.

41762952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 41762952 is about 6462.4261697910. The cubic root of 41762952 is about 346.9474738268.

The spelling of 41762952 in words is "forty-one million, seven hundred sixty-two thousand, nine hundred fifty-two".