72307296 has 48 divisors (see below), whose sum is σ = 210898800. Its totient is φ = 24102144.

The previous prime is 72307241. The next prime is 72307297. The reversal of 72307296 is 69270327.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72307296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72307297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40981 + ... + 42708.

It is an arithmetic number, because the mean of its divisors is an integer number (4393725).

Almost surely, 2^72307296 is an apocalyptic number.

It is an amenable number.

72307296 is an abundant number, since it is smaller than the sum of its proper divisors (138591504).

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

72307296 is a wasteful number, since it uses less digits than its factorization.

72307296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83708 (or 83694 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72307296 is about 8503.3696850131. The cubic root of 72307296 is about 416.6077777752.

The spelling of 72307296 in words is "seventy-two million, three hundred seven thousand, two hundred ninety-six".