42357720 has 128 divisors (see below), whose sum is σ = 134784000. Its totient is φ = 10627584.

The previous prime is 42357703. The next prime is 42357737. The reversal of 42357720 is 2775324.

It is an interprime number because it is at equal distance from previous prime (42357703) and next prime (42357737).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284206 + ... + 284354.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^42357720 is an apocalyptic number.

42357720 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 42357720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392000).

42357720 is an abundant number, since it is smaller than the sum of its proper divisors (92426280).

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

42357720 is a wasteful number, since it uses less digits than its factorization.

42357720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 42357720 is about 6508.2808790033. The cubic root of 42357720 is about 348.5867364440.

The spelling of 42357720 in words is "forty-two million, three hundred fifty-seven thousand, seven hundred twenty".