4000752 has 140 divisors (see below), whose sum is σ = 13553200. Its totient is φ = 1143072.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000752 is 2570004.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000751) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 571533 + ... + 571539.

Almost surely, 2^4000752 is an apocalyptic number.

4000752 is a gapful number since it is divisible by the number (42) 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 4000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776600).

4000752 is an abundant number, since it is smaller than the sum of its proper divisors (9552448).

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

4000752 is an frugal number, since it uses more digits than its factorization.

4000752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4000752 is about 2000.1879911648. The cubic root of 4000752 is about 158.7500522868.

Adding to 4000752 its reverse (2570004), we get a palindrome (6570756).

The spelling of 4000752 in words is "four million, seven hundred fifty-two", and thus it is an aban number.