4200672 has 144 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1112832.

The previous prime is 4200671. The next prime is 4200689. The reversal of 4200672 is 2760024.

It is a happy number.

4200672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89353 + ... + 89399.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 2^4200672 is an apocalyptic number.

4200672 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 4200672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4200672 is an abundant number, since it is smaller than the sum of its proper divisors (9588768).

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

4200672 is a wasteful number, since it uses less digits than its factorization.

4200672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4200672 is about 2049.5540978467. The cubic root of 4200672 is about 161.3514690963.

Subtracting from 4200672 its sum of digits (21), we obtain a triangular number (4200651 = T₂₈₉₈).

Adding to 4200672 its reverse (2760024), we get a palindrome (6960696).

It can be divided in two parts, 4200 and 672, that multiplied together give a square (2822400 = 1680²).

The spelling of 4200672 in words is "four million, two hundred thousand, six hundred seventy-two".