72984373 has 48 divisors (see below), whose sum is σ = 98233344. Its totient is φ = 53555040.

The previous prime is 72984367. The next prime is 72984389. The reversal of 72984373 is 37348927.

It is not a de Polignac number, because 72984373 - 2¹⁷ = 72853301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72984673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089286 + ... + 1089352.

It is an arithmetic number, because the mean of its divisors is an integer number (2046528).

Almost surely, 2^72984373 is an apocalyptic number.

It is an amenable number.

72984373 is a deficient number, since it is larger than the sum of its proper divisors (25248971).

72984373 is a wasteful number, since it uses less digits than its factorization.

72984373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The square root of 72984373 is about 8543.0891953672. The cubic root of 72984373 is about 417.9040953484.

The spelling of 72984373 in words is "seventy-two million, nine hundred eighty-four thousand, three hundred seventy-three".