72352400261 has 4 divisors (see below), whose sum is σ = 73371448224. Its totient is φ = 71333352300.

The previous prime is 72352400251. The next prime is 72352400321. The reversal of 72352400261 is 16200425327.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72352400261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72352400251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509523875 + ... + 509524016.

It is an arithmetic number, because the mean of its divisors is an integer number (18342862056).

Almost surely, 2^72352400261 is an apocalyptic number.

72352400261 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72352400261 is a deficient number, since it is larger than the sum of its proper divisors (1019047963).

72352400261 is a wasteful number, since it uses less digits than its factorization.

72352400261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019047962.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 72352400261 its reverse (16200425327), we get a palindrome (88552825588).

The spelling of 72352400261 in words is "seventy-two billion, three hundred fifty-two million, four hundred thousand, two hundred sixty-one".