72279360 has 84 divisors (see below), whose sum is σ = 248620788. Its totient is φ = 19273728.

The previous prime is 72279353. The next prime is 72279367. The reversal of 72279360 is 6397227.

It is an interprime number because it is at equal distance from previous prime (72279353) and next prime (72279367).

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 48776256 = 4848^2 + 6984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72279367) 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, 9669 + ... + 15428.

Almost surely, 2^72279360 is an apocalyptic number.

It is an amenable number.

72279360 is an abundant number, since it is smaller than the sum of its proper divisors (176341428).

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

72279360 is a wasteful number, since it uses less digits than its factorization.

72279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25120 (or 25107 counting only the distinct ones).

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

The square root of 72279360 is about 8501.7268834043. The cubic root of 72279360 is about 416.5541185795.

The spelling of 72279360 in words is "seventy-two million, two hundred seventy-nine thousand, three hundred sixty".