143724672 has 256 divisors, whose sum is σ = 523219200. Its totient is φ = 37822464.

The previous prime is 143724653. The next prime is 143724689. The reversal of 143724672 is 276427341.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314268 + ... + 314724.

It is an arithmetic number, because the mean of its divisors is an integer number (2043825).

Almost surely, 2^143724672 is an apocalyptic number.

143724672 is a gapful number since it is divisible by the number (12) 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 143724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261609600).

143724672 is an abundant number, since it is smaller than the sum of its proper divisors (379494528).

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

143724672 is a wasteful number, since it uses less digits than its factorization.

143724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 143724672 is about 11988.5225111354. The cubic root of 143724672 is about 523.8140085399.

It can be divided in two parts, 14372 and 4672, that added together give a square (19044 = 138²).

The spelling of 143724672 in words is "one hundred forty-three million, seven hundred twenty-four thousand, six hundred seventy-two".