72937293 has 64 divisors (see below), whose sum is σ = 123524352. Its totient is φ = 37601280.

The previous prime is 72937283. The next prime is 72937313. The reversal of 72937293 is 39273927.

It is not a de Polignac number, because 72937293 - 2⁵ = 72937261 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72937253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532321 + ... + 532457.

It is an arithmetic number, because the mean of its divisors is an integer number (1930068).

Almost surely, 2^72937293 is an apocalyptic number.

72937293 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72937293 is a deficient number, since it is larger than the sum of its proper divisors (50587059).

72937293 is a wasteful number, since it uses less digits than its factorization.

72937293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

The product of its digits is 142884, while the sum is 42.

The square root of 72937293 is about 8540.3333073130. Note that the first 4 decimals coincide. The cubic root of 72937293 is about 417.8142169444.

The spelling of 72937293 in words is "seventy-two million, nine hundred thirty-seven thousand, two hundred ninety-three".