72350127 has 12 divisors (see below), whose sum is σ = 104583024. Its totient is φ = 48197760.

The previous prime is 72350101. The next prime is 72350129. The reversal of 72350127 is 72105327.

It is not a de Polignac number, because 72350127 - 2¹⁰ = 72349103 is a prime.

It is a super-2 number, since 2×72350127² = 10469081753832258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72350127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72350129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16798 + ... + 20660.

It is an arithmetic number, because the mean of its divisors is an integer number (8715252).

Almost surely, 2^72350127 is an apocalyptic number.

72350127 is a deficient number, since it is larger than the sum of its proper divisors (32232897).

72350127 is a wasteful number, since it uses less digits than its factorization.

72350127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72350127 is about 8505.8877843527. The cubic root of 72350127 is about 416.6900203088.

The spelling of 72350127 in words is "seventy-two million, three hundred fifty thousand, one hundred twenty-seven".