72152361266400 has 216 divisors, whose sum is σ = 254469520173960. Its totient is φ = 19237434117120.

The previous prime is 72152361266317. The next prime is 72152361266459. The reversal of 72152361266400 is 466216325127.

72152361266400 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 23 + 612 + 6 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42680446 + ... + 44338754.

It is an arithmetic number, because the mean of its divisors is an integer number (1178099630435).

Almost surely, 2^{72152361266400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72152361266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127234760086980).

72152361266400 is an abundant number, since it is smaller than the sum of its proper divisors (182317158907560).

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

72152361266400 is a wasteful number, since it uses less digits than its factorization.

72152361266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664378 (or 1664362 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 72152361266400 in words is "seventy-two trillion, one hundred fifty-two billion, three hundred sixty-one million, two hundred sixty-six thousand, four hundred".