72311456 has 72 divisors (see below), whose sum is σ = 167541696. Its totient is φ = 30629760.

The previous prime is 72311453. The next prime is 72311483. The reversal of 72311456 is 65411327.

It is not an unprimeable number, because it can be changed into a prime (72311453) 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 11 ways as a sum of consecutive naturals, for example, 167561 + ... + 167991.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2^72311456 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 72311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83770848).

72311456 is an abundant number, since it is smaller than the sum of its proper divisors (95230240).

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

72311456 is a wasteful number, since it uses less digits than its factorization.

72311456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 72311456 is about 8503.6142904062. The cubic root of 72311456 is about 416.6157670802.

The spelling of 72311456 in words is "seventy-two million, three hundred eleven thousand, four hundred fifty-six".