72437993 has 4 divisors (see below), whose sum is σ = 72699780. Its totient is φ = 72176208.

The previous prime is 72437957. The next prime is 72437999. The reversal of 72437993 is 39973427.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39973427 = 13 ⋅3074879.

It can be written as a sum of positive squares in 2 ways, for example, as 4012009 + 68425984 = 2003^2 + 8272^2 .

It is a cyclic number.

It is not a de Polignac number, because 72437993 - 2¹² = 72433897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72437999) 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 3 ways as a sum of consecutive naturals, for example, 130478 + ... + 131031.

It is an arithmetic number, because the mean of its divisors is an integer number (18174945).

Almost surely, 2^72437993 is an apocalyptic number.

It is an amenable number.

72437993 is a deficient number, since it is larger than the sum of its proper divisors (261787).

72437993 is a wasteful number, since it uses less digits than its factorization.

72437993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261786.

The product of its digits is 285768, while the sum is 44.

The square root of 72437993 is about 8511.0512276686. The cubic root of 72437993 is about 416.8586358790.

The spelling of 72437993 in words is "seventy-two million, four hundred thirty-seven thousand, nine hundred ninety-three".