72631828125 has 42 divisors (see below), whose sum is σ = 131139376082. Its totient is φ = 38736900000.

The previous prime is 72631828121. The next prime is 72631828141. The reversal of 72631828125 is 52182813627.

72631828125 is a `hidden beast` number, since 7 + 2 + 631 + 8 + 2 + 8 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 71812208484 + 819619641 = 267978^2 + 28629^2 .

It is not a de Polignac number, because 72631828125 - 2² = 72631828121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72631828121) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 117622 + ... + 398871.

Almost surely, 2^72631828125 is an apocalyptic number.

72631828125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72631828125 is a deficient number, since it is larger than the sum of its proper divisors (58507547957).

72631828125 is an frugal number, since it uses more digits than its factorization.

72631828125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516529 (or 516501 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 72631828125 in words is "seventy-two billion, six hundred thirty-one million, eight hundred twenty-eight thousand, one hundred twenty-five".