72438254352 has 60 divisors (see below), whose sum is σ = 203378482944. Its totient is φ = 24068429760.

The previous prime is 72438254323. The next prime is 72438254359. The reversal of 72438254352 is 25345283427.

72438254352 is a `hidden beast` number, since 7 + 2 + 43 + 8 + 254 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72438254298 and 72438254307.

It is not an unprimeable number, because it can be changed into a prime (72438254359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763968 + ... + 853535.

Almost surely, 2^72438254352 is an apocalyptic number.

72438254352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72438254352 is an abundant number, since it is smaller than the sum of its proper divisors (130940228592).

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

72438254352 is a wasteful number, since it uses less digits than its factorization.

72438254352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617828 (or 1617819 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 72438254352 in words is "seventy-two billion, four hundred thirty-eight million, two hundred fifty-four thousand, three hundred fifty-two".