72438492736 has 63 divisors (see below), whose sum is σ = 152775316369. Its totient is φ = 34071477248.

The previous prime is 72438492733. The next prime is 72438492751. The reversal of 72438492736 is 63729483427.

The square root of 72438492736 is 269144.

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

It can be written as a sum of positive squares in only one way, i.e., 56396750400 + 16041742336 = 237480^2 + 126656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72438492733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36602595 + ... + 36604573.

Almost surely, 2^72438492736 is an apocalyptic number.

72438492736 is the 269144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72438492736

72438492736 is an abundant number, since it is smaller than the sum of its proper divisors (80336823633).

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

72438492736 is an frugal number, since it uses more digits than its factorization.

72438492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 1998 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 55.

The spelling of 72438492736 in words is "seventy-two billion, four hundred thirty-eight million, four hundred ninety-two thousand, seven hundred thirty-six".