72229600 has 144 divisors (see below), whose sum is σ = 192362688. Its totient is φ = 26378240.

The previous prime is 72229589. The next prime is 72229603. The reversal of 72229600 is 692227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72229603) 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, 639144 + ... + 639256.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^72229600 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 72229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

72229600 is an abundant number, since it is smaller than the sum of its proper divisors (120133088).

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

72229600 is a wasteful number, since it uses less digits than its factorization.

72229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 72229600 is about 8498.7999152822. The cubic root of 72229600 is about 416.4585058008.

It can be divided in two parts, 7222 and 9600, that multiplied together give a triangular number (69331200 = T₁₁₇₇₅).

The spelling of 72229600 in words is "seventy-two million, two hundred twenty-nine thousand, six hundred".