72046137 has 8 divisors (see below), whose sum is σ = 96324736. Its totient is φ = 47899152.

The previous prime is 72046129. The next prime is 72046147. The reversal of 72046137 is 73164027.

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

It is not a de Polignac number, because 72046137 - 2³ = 72046129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72046127) 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, 31618 + ... + 33819.

It is an arithmetic number, because the mean of its divisors is an integer number (12040592).

Almost surely, 2^72046137 is an apocalyptic number.

It is an amenable number.

72046137 is a deficient number, since it is larger than the sum of its proper divisors (24278599).

72046137 is a wasteful number, since it uses less digits than its factorization.

72046137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65807.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72046137 is about 8487.9995876531. Note that the first 3 decimals coincide. The cubic root of 72046137 is about 416.1056056622.

The spelling of 72046137 in words is "seventy-two million, forty-six thousand, one hundred thirty-seven".