72952649406 has 512 divisors, whose sum is σ = 225833287680. Its totient is φ = 16899176448.

The previous prime is 72952649369. The next prime is 72952649417. The reversal of 72952649406 is 60494625927.

72952649406 is a `hidden beast` number, since 7 + 29 + 526 + 4 + 94 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82618641 + ... + 82619523.

It is an arithmetic number, because the mean of its divisors is an integer number (441080640).

Almost surely, 2^72952649406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72952649406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112916643840).

72952649406 is an abundant number, since it is smaller than the sum of its proper divisors (152880638274).

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

72952649406 is a wasteful number, since it uses less digits than its factorization.

72952649406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 72952649406 in words is "seventy-two billion, nine hundred fifty-two million, six hundred forty-nine thousand, four hundred six".