72712901 has 8 divisors (see below), whose sum is σ = 74922624. Its totient is φ = 70530880.

The previous prime is 72712883. The next prime is 72712909. The reversal of 72712901 is 10921727.

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 72712901 - 2⁶ = 72712837 is a prime.

It is a super-3 number, since 3×72712901³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72712909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1535 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (9365328).

Almost surely, 2^72712901 is an apocalyptic number.

It is an amenable number.

72712901 is a deficient number, since it is larger than the sum of its proper divisors (2209723).

72712901 is a wasteful number, since it uses less digits than its factorization.

72712901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13851.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 72712901 is about 8527.1859953914. The cubic root of 72712901 is about 417.3853075180.

The spelling of 72712901 in words is "seventy-two million, seven hundred twelve thousand, nine hundred one".