72624484629 has 16 divisors (see below), whose sum is σ = 110093966400. Its totient is φ = 47290361328.

The previous prime is 72624484609. The next prime is 72624484637. The reversal of 72624484629 is 92648442627.

It is a happy number.

72624484629 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 4 + 4 + 8 + 4 + 629 = 666.

It is not a de Polignac number, because 72624484629 - 2¹³ = 72624476437 is a prime.

It is a super-3 number, since 3×72624484629³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72624484609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31275534 + ... + 31277855.

It is an arithmetic number, because the mean of its divisors is an integer number (6880872900).

Almost surely, 2^72624484629 is an apocalyptic number.

It is an amenable number.

72624484629 is a deficient number, since it is larger than the sum of its proper divisors (37469481771).

72624484629 is a wasteful number, since it uses less digits than its factorization.

72624484629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62553441 (or 62553435 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 72624484629 in words is "seventy-two billion, six hundred twenty-four million, four hundred eighty-four thousand, six hundred twenty-nine".