72431205 has 48 divisors (see below), whose sum is σ = 145606272. Its totient is φ = 30096000.

The previous prime is 72431179. The next prime is 72431207. The reversal of 72431205 is 50213427.

It is not a de Polignac number, because 72431205 - 2¹⁴ = 72414821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72431207) 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, 9855 + ... + 15555.

It is an arithmetic number, because the mean of its divisors is an integer number (3033464).

Almost surely, 2^72431205 is an apocalyptic number.

It is an amenable number.

72431205 is an abundant number, since it is smaller than the sum of its proper divisors (73175067).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72431205 is a wasteful number, since it uses less digits than its factorization.

72431205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72431205 is about 8510.6524426744. The cubic root of 72431205 is about 416.8456145132.

It can be divided in two parts, 7243 and 1205, that added together give a palindrome (8448).

The spelling of 72431205 in words is "seventy-two million, four hundred thirty-one thousand, two hundred five".