72643124 has 6 divisors (see below), whose sum is σ = 127125474. Its totient is φ = 36321560.

The previous prime is 72643121. The next prime is 72643127. The reversal of 72643124 is 42134627.

It is an interprime number because it is at equal distance from previous prime (72643121) and next prime (72643127).

It can be written as a sum of positive squares in only one way, i.e., 67535524 + 5107600 = 8218^2 + 2260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72643121) 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 as a sum of consecutive naturals, namely, 9080387 + ... + 9080394.

It is an arithmetic number, because the mean of its divisors is an integer number (21187579).

Almost surely, 2^72643124 is an apocalyptic number.

It is an amenable number.

72643124 is a deficient number, since it is larger than the sum of its proper divisors (54482350).

72643124 is a wasteful number, since it uses less digits than its factorization.

72643124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18160785 (or 18160783 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 72643124 is about 8523.0935698255. The cubic root of 72643124 is about 417.2517538883.

The spelling of 72643124 in words is "seventy-two million, six hundred forty-three thousand, one hundred twenty-four".