4072722732 has 144 divisors (see below), whose sum is σ = 11836581120. Its totient is φ = 1170288000.

The previous prime is 4072722707. The next prime is 4072722757. The reversal of 4072722732 is 2372272704.

It is a happy number.

4072722732 is a `hidden beast` number, since 407 + 27 + 227 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4072722707) and next prime (4072722757).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628107 + ... + 634557.

It is an arithmetic number, because the mean of its divisors is an integer number (82198480).

Almost surely, 2^4072722732 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 4072722732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918290560).

4072722732 is an abundant number, since it is smaller than the sum of its proper divisors (7763858388).

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

4072722732 is a wasteful number, since it uses less digits than its factorization.

4072722732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564 (or 6559 counting only the distinct ones).

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

The square root of 4072722732 is about 63817.8872417444. The cubic root of 4072722732 is about 1596.9633460834.

The spelling of 4072722732 in words is "four billion, seventy-two million, seven hundred twenty-two thousand, seven hundred thirty-two".