72137863 has 8 divisors (see below), whose sum is σ = 82534400. Its totient is φ = 61764120.

The previous prime is 72137743. The next prime is 72137881. The reversal of 72137863 is 36873127.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72137863 - 2¹³ = 72129671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72137893) 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 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 12136.

It is an arithmetic number, because the mean of its divisors is an integer number (10316800).

Almost surely, 2^72137863 is an apocalyptic number.

72137863 is a deficient number, since it is larger than the sum of its proper divisors (10396537).

72137863 is a wasteful number, since it uses less digits than its factorization.

72137863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11397.

The product of its digits is 42336, while the sum is 37.

The square root of 72137863 is about 8493.4011444179. The cubic root of 72137863 is about 416.2821199441.

The spelling of 72137863 in words is "seventy-two million, one hundred thirty-seven thousand, eight hundred sixty-three".