4072153752 has 96 divisors (see below), whose sum is σ = 11693101680. Its totient is φ = 1275832320.

The previous prime is 4072153721. The next prime is 4072153783. The reversal of 4072153752 is 2573512704.

4072153752 is a `hidden beast` number, since 4 + 0 + 72 + 1 + 537 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (4072153721) and next prime (4072153783).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164727 + ... + 1168217.

Almost surely, 2^4072153752 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 4072153752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846550840).

4072153752 is an abundant number, since it is smaller than the sum of its proper divisors (7620947928).

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

4072153752 is a wasteful number, since it uses less digits than its factorization.

4072153752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 4072153752 is about 63813.4292449481. The cubic root of 4072153752 is about 1596.8889746631. Note that the first 3 decimals are identical.

The spelling of 4072153752 in words is "four billion, seventy-two million, one hundred fifty-three thousand, seven hundred fifty-two".