72852462831456 has 2592 divisors, whose sum is σ = 296915711339520. Its totient is φ = 17332629350400.

The previous prime is 72852462831427. The next prime is 72852462831541. The reversal of 72852462831456 is 65413826425827.

72852462831456 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 246 + 28 + 314 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 72852462831393 and 72852462831402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 66653670846 + ... + 66653671938.

It is an arithmetic number, because the mean of its divisors is an integer number (114550814560).

Almost surely, 2^{72852462831456} is an apocalyptic number.

72852462831456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72852462831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148457855669760).

72852462831456 is an abundant number, since it is smaller than the sum of its proper divisors (224063248508064).

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

72852462831456 is a wasteful number, since it uses less digits than its factorization.

72852462831456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1166 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 72852462831456 in words is "seventy-two trillion, eight hundred fifty-two billion, four hundred sixty-two million, eight hundred thirty-one thousand, four hundred fifty-six".