72237312 has 144 divisors (see below), whose sum is σ = 244298880. Its totient is φ = 20625408.

The previous prime is 72237311. The next prime is 72237313. The reversal of 72237312 is 21373227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72237311) and next prime (72237313).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72237311) 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 15 ways as a sum of consecutive naturals, for example, 47638 + ... + 49130.

It is an arithmetic number, because the mean of its divisors is an integer number (1696520).

Almost surely, 2^72237312 is an apocalyptic number.

72237312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122149440).

72237312 is an abundant number, since it is smaller than the sum of its proper divisors (172061568).

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

72237312 is a wasteful number, since it uses less digits than its factorization.

72237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1505 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 72237312 is about 8499.2536142887. The cubic root of 72237312 is about 416.4733271192.

It can be divided in two parts, 7223 and 7312, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 72237312 in words is "seventy-two million, two hundred thirty-seven thousand, three hundred twelve".