72143800 has 48 divisors (see below), whose sum is σ = 168839640. Its totient is φ = 28667520.

The previous prime is 72143761. The next prime is 72143803. The reversal of 72143800 is 834127.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72143803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31494 + ... + 33706.

Almost surely, 2^72143800 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 72143800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84419820).

72143800 is an abundant number, since it is smaller than the sum of its proper divisors (96695840).

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

72143800 is a wasteful number, since it uses less digits than its factorization.

72143800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72143800 is about 8493.7506438558. The cubic root of 72143800 is about 416.2935397406.

Adding to 72143800 its reverse (834127), we get a palindrome (72977927).

It can be divided in two parts, 721 and 43800, that added together give a square (44521 = 211²).

The spelling of 72143800 in words is "seventy-two million, one hundred forty-three thousand, eight hundred".