72738901 has 8 divisors (see below), whose sum is σ = 74318904. Its totient is φ = 71171520.

The previous prime is 72738889. The next prime is 72738907. The reversal of 72738901 is 10983727.

It can be written as a sum of positive squares in 4 ways, for example, as 1758276 + 70980625 = 1326^2 + 8425^2 .

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 72738901 - 2⁷ = 72738773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738907) 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, 8991 + ... + 15043.

It is an arithmetic number, because the mean of its divisors is an integer number (9289863).

Almost surely, 2^72738901 is an apocalyptic number.

It is an amenable number.

72738901 is a deficient number, since it is larger than the sum of its proper divisors (1580003).

72738901 is a wasteful number, since it uses less digits than its factorization.

72738901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 72738901 is about 8528.7103948956. The cubic root of 72738901 is about 417.4350498363.

The spelling of 72738901 in words is "seventy-two million, seven hundred thirty-eight thousand, nine hundred one".