427605072 has 160 divisors (see below), whose sum is σ = 1202589696. Its totient is φ = 130636800.

The previous prime is 427605067. The next prime is 427605077. The reversal of 427605072 is 270506724.

It is an interprime number because it is at equal distance from previous prime (427605067) and next prime (427605077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427605077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623263 + ... + 2623425.

Almost surely, 2^427605072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427605072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601294848).

427605072 is an abundant number, since it is smaller than the sum of its proper divisors (774984624).

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

427605072 is a wasteful number, since it uses less digits than its factorization.

427605072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 427605072 is about 20678.6138800452. The cubic root of 427605072 is about 753.3803397370.

The spelling of 427605072 in words is "four hundred twenty-seven million, six hundred five thousand, seventy-two".