72501 has 16 divisors (see below), whose sum is σ = 114240. Its totient is φ = 40560.

The previous prime is 72497. The next prime is 72503. The reversal of 72501 is 10527.

Added to its reverse (10527) it gives a triangular number (83028 = T₄₀₇).

It is a happy number.

It is not a de Polignac number, because 72501 - 2² = 72497 is a prime.

It is an alternating number because its digits alternate between odd and even.

72501 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5571 + ... + 5583.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁷²⁵⁰¹ is an apocalyptic number.

It is an amenable number.

72501 is a deficient number, since it is larger than the sum of its proper divisors (41739).

72501 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (72500) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (53).

72501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 72501 is about 269.2600973037. The cubic root of 72501 is about 41.6979462899.

Adding to 72501 its reverse (10527), we get a triangular number (83028 = T₄₀₇).

The spelling of 72501 in words is "seventy-two thousand, five hundred one".