72602007738 has 32 divisors (see below), whose sum is σ = 164603745600. Its totient is φ = 21163337856.

The previous prime is 72602007733. The next prime is 72602007739. The reversal of 72602007738 is 83770020627.

It is a super-2 number, since 2×72602007738² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72602007738.

It is not an unprimeable number, because it can be changed into a prime (72602007733) 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, 24493123 + ... + 24496086.

It is an arithmetic number, because the mean of its divisors is an integer number (5143867050).

Almost surely, 2^72602007738 is an apocalyptic number.

72602007738 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72602007738 is an abundant number, since it is smaller than the sum of its proper divisors (92001737862).

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

72602007738 is a wasteful number, since it uses less digits than its factorization.

72602007738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48989246.

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 72602007738 in words is "seventy-two billion, six hundred two million, seven thousand, seven hundred thirty-eight".