72007376 has 80 divisors (see below), whose sum is σ = 171953280. Its totient is φ = 28508160.

The previous prime is 72007373. The next prime is 72007381. The reversal of 72007376 is 67370027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007373) 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 15 ways as a sum of consecutive naturals, for example, 112016 + ... + 112656.

It is an arithmetic number, because the mean of its divisors is an integer number (2149416).

Almost surely, 2^72007376 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 72007376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976640).

72007376 is an abundant number, since it is smaller than the sum of its proper divisors (99945904).

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

72007376 is a wasteful number, since it uses less digits than its factorization.

72007376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 72007376 is about 8485.7159980758. The cubic root of 72007376 is about 416.0309703274.

The spelling of 72007376 in words is "seventy-two million, seven thousand, three hundred seventy-six".