42757000 has 192 divisors, whose sum is σ = 123327360. Its totient is φ = 13728000.

The previous prime is 42756997. The next prime is 42757003. The reversal of 42757000 is 75724.

It is an interprime number because it is at equal distance from previous prime (42756997) and next prime (42757003).

It is a super-2 number, since 2×42757000² = 3656322098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42757003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858989 + ... + 1859011.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 2^42757000 is an apocalyptic number.

42757000 is a gapful number since it is divisible by the number (40) 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 42757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61663680).

42757000 is an abundant number, since it is smaller than the sum of its proper divisors (80570360).

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

42757000 is a wasteful number, since it uses less digits than its factorization.

42757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 42757000 is about 6538.8836967788. The cubic root of 42757000 is about 349.6786165483.

The spelling of 42757000 in words is "forty-two million, seven hundred fifty-seven thousand".