72503233230527 has 8 divisors (see below), whose sum is σ = 79098013993680. Its totient is φ = 65909048757760.

The previous prime is 72503233230521. The next prime is 72503233230551.

72503233230527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72503233230527 is a prime.

It is a super-3 number, since 3×72503233230527³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72503233230521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148818338 + ... + 149304735.

It is an arithmetic number, because the mean of its divisors is an integer number (9887251749210).

Almost surely, 2^{72503233230527} is an apocalyptic number.

72503233230527 is a deficient number, since it is larger than the sum of its proper divisors (6594780763153).

72503233230527 is a wasteful number, since it uses less digits than its factorization.

72503233230527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298145193.

The product of its (nonzero) digits is 1587600, while the sum is 44.

The spelling of 72503233230527 in words is "seventy-two trillion, five hundred three billion, two hundred thirty-three million, two hundred thirty thousand, five hundred twenty-seven".