72082315907031 has 64 divisors (see below), whose sum is σ = 100589050265600. Its totient is φ = 45862229808000.

The previous prime is 72082315907029. The next prime is 72082315907083. The reversal of 72082315907031 is 13070951328027.

It is not a de Polignac number, because 72082315907031 - 2¹ = 72082315907029 is a prime.

It is a super-2 number, since 2×72082315907031² (a number of 29 digits) contains 22 as substring.

It is the 8490131-st Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72082315907131) by changing a digit.

It is a nontrivial repunit in base 8490130.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7245177045 + ... + 7245186993.

It is an arithmetic number, because the mean of its divisors is an integer number (1571703910400).

Almost surely, 2^{72082315907031} is an apocalyptic number.

72082315907031 is the 4538166-th nonagonal number.

72082315907031 is a deficient number, since it is larger than the sum of its proper divisors (28506734358569).

72082315907031 is a wasteful number, since it uses less digits than its factorization.

72082315907031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13148.

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 72082315907031 in words is "seventy-two trillion, eighty-two billion, three hundred fifteen million, nine hundred seven thousand, thirty-one".