42723720 has 256 divisors, whose sum is σ = 163296000. Its totient is φ = 9842688.

The previous prime is 42723713. The next prime is 42723721. The reversal of 42723720 is 2732724.

42723720 is a `hidden beast` number, since 427 + 237 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42723721) 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, 238591 + ... + 238769.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 2^42723720 is an apocalyptic number.

42723720 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 42723720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

42723720 is an abundant number, since it is smaller than the sum of its proper divisors (120572280).

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

42723720 is a wasteful number, since it uses less digits than its factorization.

42723720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42723720 is about 6536.3384245310. The cubic root of 42723720 is about 349.5878686398.

The spelling of 42723720 in words is "forty-two million, seven hundred twenty-three thousand, seven hundred twenty".