42612720 has 40 divisors (see below), whose sum is σ = 132100176. Its totient is φ = 11363328.

The previous prime is 42612707. The next prime is 42612733. The reversal of 42612720 is 2721624.

42612720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42612707) and next prime (42612733).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88537 + ... + 89016.

Almost surely, 2^42612720 is an apocalyptic number.

42612720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42612720 is an abundant number, since it is smaller than the sum of its proper divisors (89487456).

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

42612720 is a wasteful number, since it uses less digits than its factorization.

42612720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177569 (or 177563 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42612720 is about 6527.8419098505. The cubic root of 42612720 is about 349.2848526756.

The spelling of 42612720 in words is "forty-two million, six hundred twelve thousand, seven hundred twenty".