72286501 has 16 divisors (see below), whose sum is σ = 84951040. Its totient is φ = 60231600.

The previous prime is 72286481. The next prime is 72286519. The reversal of 72286501 is 10568227.

It is a 4-Lehmer number, since φ(72286501) divides (72286501-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 72286501 - 2⁷ = 72286373 is a prime.

It is a deceptive number, since it divides R_72286500.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72286001) 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, 36076 + ... + 38026.

It is an arithmetic number, because the mean of its divisors is an integer number (5309440).

It is a Poulet number, since it divides 2^72286500-1.

Almost surely, 2^72286501 is an apocalyptic number.

It is an amenable number.

72286501 is a deficient number, since it is larger than the sum of its proper divisors (12664539).

72286501 is a wasteful number, since it uses less digits than its factorization.

72286501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 72286501 is about 8502.1468465324. The cubic root of 72286501 is about 416.5678362578.

The spelling of 72286501 in words is "seventy-two million, two hundred eighty-six thousand, five hundred one".