72407062537416 has 48 divisors (see below), whose sum is σ = 199802507484060. Its totient is φ = 23680297180800.

The previous prime is 72407062537393. The next prime is 72407062537417. The reversal of 72407062537416 is 61473526070427.

72407062537416 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 7 + 0 + 62 + 537 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62825375652516 + 9581686884900 = 7926246^2 + 3095430^2 .

It is not an unprimeable number, because it can be changed into a prime (72407062537417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9487294735 + ... + 9487302366.

Almost surely, 2^{72407062537416} is an apocalyptic number.

It is an amenable number.

72407062537416 is an abundant number, since it is smaller than the sum of its proper divisors (127395444946644).

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

72407062537416 is a wasteful number, since it uses less digits than its factorization.

72407062537416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18974597166 (or 18974597159 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 72407062537416 in words is "seventy-two trillion, four hundred seven billion, sixty-two million, five hundred thirty-seven thousand, four hundred sixteen".