41742972 has 48 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 13676400.

The previous prime is 41742929. The next prime is 41742989. The reversal of 41742972 is 27924714.

It is a super-2 number, since 2×41742972² = 3484951422785568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3097 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^41742972 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 41742972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

41742972 is an abundant number, since it is smaller than the sum of its proper divisors (68330628).

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

41742972 is a wasteful number, since it uses less digits than its factorization.

41742972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6615 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 41742972 is about 6460.8801258033. The cubic root of 41742972 is about 346.8921367721.

The spelling of 41742972 in words is "forty-one million, seven hundred forty-two thousand, nine hundred seventy-two".