72080727 has 16 divisors (see below), whose sum is σ = 97152000. Its totient is φ = 47535264.

The previous prime is 72080683. The next prime is 72080753. The reversal of 72080727 is 72708027.

It is a happy number.

It is not a de Polignac number, because 72080727 - 2¹⁵ = 72047959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080027) 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, 163974 + ... + 164412.

It is an arithmetic number, because the mean of its divisors is an integer number (6072000).

Almost surely, 2^72080727 is an apocalyptic number.

72080727 is a deficient number, since it is larger than the sum of its proper divisors (25071273).

72080727 is a wasteful number, since it uses less digits than its factorization.

72080727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910.

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 72080727 is about 8490.0369257148. The cubic root of 72080727 is about 416.1721870256.

The spelling of 72080727 in words is "seventy-two million, eighty thousand, seven hundred twenty-seven".