4072407552 has 120 divisors (see below), whose sum is σ = 11806799004. Its totient is φ = 1351286784.

The previous prime is 4072407529. The next prime is 4072407557. The reversal of 4072407552 is 2557042704.

It is a happy number.

4072407552 is a `hidden beast` number, since 407 + 240 + 7 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3640432896 + 431974656 = 60336^2 + 20784^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4072407557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071768 + ... + 1075560.

Almost surely, 2^4072407552 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 4072407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903399502).

4072407552 is an abundant number, since it is smaller than the sum of its proper divisors (7734391452).

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

4072407552 is a wasteful number, since it uses less digits than its factorization.

4072407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4072407552 is about 63815.4178235949. The cubic root of 4072407552 is about 1596.9221497367.

The spelling of 4072407552 in words is "four billion, seventy-two million, four hundred seven thousand, five hundred fifty-two".