72010673 has 8 divisors (see below), whose sum is σ = 82376448. Its totient is φ = 61664544.

The previous prime is 72010667. The next prime is 72010711. The reversal of 72010673 is 37601027.

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 72010673 - 2⁸ = 72010417 is a prime.

It is a super-3 number, since 3×72010673³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72010643) 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, 4040 + ... + 12662.

It is an arithmetic number, because the mean of its divisors is an integer number (10297056).

Almost surely, 2^72010673 is an apocalyptic number.

It is an amenable number.

72010673 is a deficient number, since it is larger than the sum of its proper divisors (10365775).

72010673 is a wasteful number, since it uses less digits than its factorization.

72010673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 72010673 is about 8485.9102634897. The cubic root of 72010673 is about 416.0373198305.

The spelling of 72010673 in words is "seventy-two million, ten thousand, six hundred seventy-three".