72419653881 has 21 divisors (see below), whose sum is σ = 108590705301. Its totient is φ = 48274925292.

The previous prime is 72419653879. The next prime is 72419653913. The reversal of 72419653881 is 18835691427.

The square root of 72419653881 is 269109.

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

72419653881 is a `hidden beast` number, since 7 + 24 + 1 + 9 + 6 + 538 + 81 = 666.

It is not a de Polignac number, because 72419653881 - 2¹ = 72419653879 is a prime.

It is a super-2 number, since 2×72419653881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72419651881) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7260960 + ... + 7270926.

Almost surely, 2^72419653881 is an apocalyptic number.

72419653881 is the 269109-th square number.

72419653881 is the 134555-th centered octagonal number.

It is an amenable number.

72419653881 is a deficient number, since it is larger than the sum of its proper divisors (36171051420).

72419653881 is an frugal number, since it uses more digits than its factorization.

72419653881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19952 (or 9970 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 72419653881 in words is "seventy-two billion, four hundred nineteen million, six hundred fifty-three thousand, eight hundred eighty-one".