72673038 has 24 divisors (see below), whose sum is σ = 163291128. Its totient is φ = 24224184.

The previous prime is 72673001. The next prime is 72673049. The reversal of 72673038 is 83037627.

It is a junction number, because it is equal to n+sod(n) for n = 72672993 and 72673011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 74281 + ... + 75252.

It is an arithmetic number, because the mean of its divisors is an integer number (6803797).

Almost surely, 2^72673038 is an apocalyptic number.

72673038 is an abundant number, since it is smaller than the sum of its proper divisors (90618090).

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

72673038 is a wasteful number, since it uses less digits than its factorization.

72673038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149550 (or 149538 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72673038 is about 8524.8482684444. The cubic root of 72673038 is about 417.3090199463.

The spelling of 72673038 in words is "seventy-two million, six hundred seventy-three thousand, thirty-eight".