4072077432 has 24 divisors (see below), whose sum is σ = 11028543240. Its totient is φ = 1357359120.

The previous prime is 4072077421. The next prime is 4072077433. The reversal of 4072077432 is 2347702704.

4072077432 is a `hidden beast` number, since 407 + 207 + 7 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×4072077432² = 33163629224407429248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072077433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28278244 + ... + 28278387.

It is an arithmetic number, because the mean of its divisors is an integer number (459522635).

Almost surely, 2^4072077432 is an apocalyptic number.

It is an amenable number.

4072077432 is an abundant number, since it is smaller than the sum of its proper divisors (6956465808).

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

4072077432 is a wasteful number, since it uses less digits than its factorization.

4072077432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56556643 (or 56556636 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 4072077432 is about 63812.8312488954. The cubic root of 4072077432 is about 1596.8789983430.

The spelling of 4072077432 in words is "four billion, seventy-two million, seventy-seven thousand, four hundred thirty-two".