72477254656 has 99 divisors (see below), whose sum is σ = 148863565459. Its totient is φ = 35269449728.

The previous prime is 72477254651. The next prime is 72477254671. The reversal of 72477254656 is 65645277427.

The square root of 72477254656 is 269216.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72477254597 and 72477254606.

It is not an unprimeable number, because it can be changed into a prime (72477254651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 404900775 + ... + 404900953.

Almost surely, 2^72477254656 is an apocalyptic number.

72477254656 is the 269216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72477254656

72477254656 is an abundant number, since it is smaller than the sum of its proper divisors (76386310803).

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

72477254656 is an frugal number, since it uses more digits than its factorization.

72477254656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 228 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 55.

The spelling of 72477254656 in words is "seventy-two billion, four hundred seventy-seven million, two hundred fifty-four thousand, six hundred fifty-six".