72567162 has 36 divisors (see below), whose sum is σ = 164383674. Its totient is φ = 23134320.

The previous prime is 72567161. The next prime is 72567163. The reversal of 72567162 is 26176527.

It is an interprime number because it is at equal distance from previous prime (72567161) and next prime (72567163).

It can be written as a sum of positive squares in only one way, i.e., 48566961 + 24000201 = 6969^2 + 4899^2 .

It is not an unprimeable number, because it can be changed into a prime (72567161) 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 17 ways as a sum of consecutive naturals, for example, 5712 + ... + 13332.

Almost surely, 2^72567162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72567162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82191837).

72567162 is an abundant number, since it is smaller than the sum of its proper divisors (91816512).

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

72567162 is a wasteful number, since it uses less digits than its factorization.

72567162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7649 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72567162 is about 8518.6361584470. The cubic root of 72567162 is about 417.1062648629.

The spelling of 72567162 in words is "seventy-two million, five hundred sixty-seven thousand, one hundred sixty-two".