72712902 has 8 divisors (see below), whose sum is σ = 145425816. Its totient is φ = 24237632.

The previous prime is 72712883. The next prime is 72712909. The reversal of 72712902 is 20921727.

It is a happy number.

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

72712902 is an admirable number.

It is a super-3 number, since 3×72712902³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 72712902.

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 3 ways as a sum of consecutive naturals, for example, 6059403 + ... + 6059414.

It is an arithmetic number, because the mean of its divisors is an integer number (18178227).

Almost surely, 2^72712902 is an apocalyptic number.

72712902 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72712902 is a wasteful number, since it uses less digits than its factorization.

72712902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12118822.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 72712902 is about 8527.1860540274. The cubic root of 72712902 is about 417.3853094314.

The spelling of 72712902 in words is "seventy-two million, seven hundred twelve thousand, nine hundred two".