72905837 has 4 divisors (see below), whose sum is σ = 76075680. Its totient is φ = 69735996.

The previous prime is 72905827. The next prime is 72905891. The reversal of 72905837 is 73850927.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 73850927 = 37 ⋅1995971.

It is a cyclic number.

It is not a de Polignac number, because 72905837 - 2⁴ = 72905821 is a prime.

It is a super-2 number, since 2×72905837² = 10630522137341138, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72905794 and 72905803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72905827) 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 3 ways as a sum of consecutive naturals, for example, 1584887 + ... + 1584932.

It is an arithmetic number, because the mean of its divisors is an integer number (19018920).

Almost surely, 2^72905837 is an apocalyptic number.

It is an amenable number.

72905837 is a deficient number, since it is larger than the sum of its proper divisors (3169843).

72905837 is a wasteful number, since it uses less digits than its factorization.

72905837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169842.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 72905837 is about 8538.4914944034. The cubic root of 72905837 is about 417.7541440914.

The spelling of 72905837 in words is "seventy-two million, nine hundred five thousand, eight hundred thirty-seven".