4072572504 has 384 divisors, whose sum is σ = 14963719680. Its totient is φ = 974350080.

The previous prime is 4072572503. The next prime is 4072572521. The reversal of 4072572504 is 4052752704.

It is a happy number.

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 (4072572503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8720479 + ... + 8720945.

It is an arithmetic number, because the mean of its divisors is an integer number (38968020).

Almost surely, 2^4072572504 is an apocalyptic number.

4072572504 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 4072572504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481859840).

4072572504 is an abundant number, since it is smaller than the sum of its proper divisors (10891147176).

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

4072572504 is a wasteful number, since it uses less digits than its factorization.

4072572504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 503 counting only the distinct ones).

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

The square root of 4072572504 is about 63816.7102254574. The cubic root of 4072572504 is about 1596.9437104428.

The spelling of 4072572504 in words is "four billion, seventy-two million, five hundred seventy-two thousand, five hundred four".