72353072 has 40 divisors (see below), whose sum is σ = 153686592. Its totient is φ = 32724800.

The previous prime is 72353063. The next prime is 72353077. The reversal of 72353072 is 27035327.

It is not an unprimeable number, because it can be changed into a prime (72353077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39047 + ... + 40857.

Almost surely, 2^72353072 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 72353072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76843296).

72353072 is an abundant number, since it is smaller than the sum of its proper divisors (81333520).

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

72353072 is a wasteful number, since it uses less digits than its factorization.

72353072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 29.

The square root of 72353072 is about 8506.0608979715. The cubic root of 72353072 is about 416.6956739983.

Adding to 72353072 its reverse (27035327), we get a palindrome (99388399).

The spelling of 72353072 in words is "seventy-two million, three hundred fifty-three thousand, seventy-two".