72948601 has 12 divisors (see below), whose sum is σ = 82952100. Its totient is φ = 64027040.

The previous prime is 72948599. The next prime is 72948643. The reversal of 72948601 is 10684927.

It can be written as a sum of positive squares in 2 ways, for example, as 52707600 + 20241001 = 7260^2 + 4499^2 .

It is not a de Polignac number, because 72948601 - 2¹ = 72948599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72948671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6886 + ... + 13903.

It is an arithmetic number, because the mean of its divisors is an integer number (6912675).

Almost surely, 2^72948601 is an apocalyptic number.

It is an amenable number.

72948601 is a deficient number, since it is larger than the sum of its proper divisors (10003499).

72948601 is a wasteful number, since it uses less digits than its factorization.

72948601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20840 (or 20829 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 72948601 is about 8540.9953167064. The cubic root of 72948601 is about 417.8358080894.

The spelling of 72948601 in words is "seventy-two million, nine hundred forty-eight thousand, six hundred one".