72050727 has 48 divisors (see below), whose sum is σ = 117261312. Its totient is φ = 39191040.

The previous prime is 72050711. The next prime is 72050753. The reversal of 72050727 is 72705027.

It is not a de Polignac number, because 72050727 - 2⁴ = 72050711 is a prime.

It is a super-2 number, since 2×72050727² = 10382614522457058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72050694 and 72050703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72050227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441948 + ... + 442110.

It is an arithmetic number, because the mean of its divisors is an integer number (2442944).

Almost surely, 2^72050727 is an apocalyptic number.

72050727 is a deficient number, since it is larger than the sum of its proper divisors (45210585).

72050727 is a wasteful number, since it uses less digits than its factorization.

72050727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 72050727 is about 8488.2699650753. The cubic root of 72050727 is about 416.1144420563.

The spelling of 72050727 in words is "seventy-two million, fifty thousand, seven hundred twenty-seven".