72501737373 has 48 divisors (see below), whose sum is σ = 117730214784. Its totient is φ = 42659844480.

The previous prime is 72501737353. The next prime is 72501737383. The reversal of 72501737373 is 37373710527.

72501737373 is a `hidden beast` number, since 7 + 2 + 501 + 7 + 3 + 73 + 73 = 666.

It is not a de Polignac number, because 72501737373 - 2²¹ = 72499640221 is a prime.

It is a super-2 number, since 2×72501737373² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72501737353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11463190 + ... + 11469512.

It is an arithmetic number, because the mean of its divisors is an integer number (2452712808).

Almost surely, 2^72501737373 is an apocalyptic number.

It is an amenable number.

72501737373 is a deficient number, since it is larger than the sum of its proper divisors (45228477411).

72501737373 is a wasteful number, since it uses less digits than its factorization.

72501737373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 648270, while the sum is 45.

The spelling of 72501737373 in words is "seventy-two billion, five hundred one million, seven hundred thirty-seven thousand, three hundred seventy-three".