72258501 has 32 divisors (see below), whose sum is σ = 117160960. Its totient is φ = 38693376.

The previous prime is 72258499. The next prime is 72258503. The reversal of 72258501 is 10585227.

It is an interprime number because it is at equal distance from previous prime (72258499) and next prime (72258503).

It is not a de Polignac number, because 72258501 - 2¹ = 72258499 is a prime.

It is the 8501-st Hogben number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72258503) by changing a digit.

It is a nontrivial repunit in base 8500.

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 31 ways as a sum of consecutive naturals, for example, 37770 + ... + 39636.

It is an arithmetic number, because the mean of its divisors is an integer number (3661280).

Almost surely, 2^72258501 is an apocalyptic number.

It is an amenable number.

72258501 is a deficient number, since it is larger than the sum of its proper divisors (44902459).

72258501 is a wasteful number, since it uses less digits than its factorization.

72258501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 72258501 is about 8500.5000441151. The cubic root of 72258501 is about 416.5140437996.

The spelling of 72258501 in words is "seventy-two million, two hundred fifty-eight thousand, five hundred one".