42723360 has 72 divisors (see below), whose sum is σ = 145798380. Its totient is φ = 11392512.

The previous prime is 42723349. The next prime is 42723361. The reversal of 42723360 is 6332724.

42723360 is a `hidden beast` number, since 427 + 233 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 6290064 = 6036^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42723361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13395 + ... + 16274.

Almost surely, 2^42723360 is an apocalyptic number.

42723360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42723360 is an abundant number, since it is smaller than the sum of its proper divisors (103075020).

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

42723360 is a wasteful number, since it uses less digits than its factorization.

42723360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29690 (or 29679 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42723360 is about 6536.3108861192. The cubic root of 42723360 is about 349.5868867342.

The spelling of 42723360 in words is "forty-two million, seven hundred twenty-three thousand, three hundred sixty".