72612406901 has 8 divisors (see below), whose sum is σ = 77051968920. Its totient is φ = 68191538688.

The previous prime is 72612406883. The next prime is 72612406927. The reversal of 72612406901 is 10960421627.

It can be written as a sum of positive squares in 4 ways, for example, as 22134000625 + 50478406276 = 148775^2 + 224674^2 .

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 72612406901 - 2²² = 72608212597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72612406301) 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, 4665446 + ... + 4680983.

It is an arithmetic number, because the mean of its divisors is an integer number (9631496115).

Almost surely, 2^72612406901 is an apocalyptic number.

It is an amenable number.

72612406901 is a deficient number, since it is larger than the sum of its proper divisors (4439562019).

72612406901 is a wasteful number, since it uses less digits than its factorization.

72612406901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346903.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 72612406901 in words is "seventy-two billion, six hundred twelve million, four hundred six thousand, nine hundred one".