72416253531076 has 81 divisors (see below), whose sum is σ = 159634424395719. Its totient is φ = 28647575506368.

The previous prime is 72416253530977. The next prime is 72416253531101. The reversal of 72416253531076 is 67013535261427.

The square root of 72416253531076 is 8509774.

It is a perfect power (a square), and thus also a powerful number.

72416253531076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 827055649476 + 71589197881600 = 909426^2 + 8461040^2 .

It is a super-2 number, since 2×72416253531076² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1548755490 + ... + 1548802246.

Almost surely, 2^{72416253531076} is an apocalyptic number.

72416253531076 is the 8509774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72416253531076

72416253531076 is an abundant number, since it is smaller than the sum of its proper divisors (87218170864643).

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

72416253531076 is an frugal number, since it uses more digits than its factorization.

72416253531076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93558 (or 46779 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 72416253531076 in words is "seventy-two trillion, four hundred sixteen billion, two hundred fifty-three million, five hundred thirty-one thousand, seventy-six".