4072737504 has 96 divisors (see below), whose sum is σ = 11703533184. Its totient is φ = 1229857280.

The previous prime is 4072737497. The next prime is 4072737511. The reversal of 4072737504 is 4057372704.

It is an interprime number because it is at equal distance from previous prime (4072737497) and next prime (4072737511).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 302827 + ... + 315989.

It is an arithmetic number, because the mean of its divisors is an integer number (121911804).

Almost surely, 2^4072737504 is an apocalyptic number.

4072737504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072737504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851766592).

4072737504 is an abundant number, since it is smaller than the sum of its proper divisors (7630795680).

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

4072737504 is a wasteful number, since it uses less digits than its factorization.

4072737504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 39.

The square root of 4072737504 is about 63818.0029772164. The cubic root of 4072737504 is about 1596.9652768404.

The spelling of 4072737504 in words is "four billion, seventy-two million, seven hundred thirty-seven thousand, five hundred four".