72013749 has 8 divisors (see below), whose sum is σ = 96116640. Its totient is φ = 47960016.

The previous prime is 72013741. The next prime is 72013769. The reversal of 72013749 is 94731027.

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

It is not a de Polignac number, because 72013749 - 2³ = 72013741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72013741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8722 + ... + 14835.

It is an arithmetic number, because the mean of its divisors is an integer number (12014580).

Almost surely, 2^72013749 is an apocalyptic number.

It is an amenable number.

72013749 is a deficient number, since it is larger than the sum of its proper divisors (24102891).

72013749 is a wasteful number, since it uses less digits than its factorization.

72013749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24579.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72013749 is about 8486.0915031597. The cubic root of 72013749 is about 416.0432435477.

The spelling of 72013749 in words is "seventy-two million, thirteen thousand, seven hundred forty-nine".