72156412251 has 128 divisors (see below), whose sum is σ = 135122411520. Its totient is φ = 36967881600.

The previous prime is 72156412189. The next prime is 72156412261. The reversal of 72156412251 is 15221465127.

72156412251 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 641 + 2 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 72156412251 - 2¹³ = 72156404059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72156412261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61618896 + ... + 61620066.

It is an arithmetic number, because the mean of its divisors is an integer number (1055643840).

Almost surely, 2^72156412251 is an apocalyptic number.

72156412251 is a deficient number, since it is larger than the sum of its proper divisors (62965999269).

72156412251 is a wasteful number, since it uses less digits than its factorization.

72156412251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

Adding to 72156412251 its reverse (15221465127), we get a palindrome (87377877378).

The spelling of 72156412251 in words is "seventy-two billion, one hundred fifty-six million, four hundred twelve thousand, two hundred fifty-one".