72273565112400 has 180 divisors, whose sum is σ = 250819390190460. Its totient is φ = 19272178944000.

The previous prime is 72273565112339. The next prime is 72273565112407. The reversal of 72273565112400 is 421156537227.

72273565112400 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 356 + 51 + 1 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1930521282624 + 70343043829776 = 1389432^2 + 8387076^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72273565112407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92494546 + ... + 93272654.

Almost surely, 2^{72273565112400} is an apocalyptic number.

It is an amenable number.

72273565112400 is an abundant number, since it is smaller than the sum of its proper divisors (178545825078060).

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

72273565112400 is a wasteful number, since it uses less digits than its factorization.

72273565112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803934 (or 803920 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 72273565112400 in words is "seventy-two trillion, two hundred seventy-three billion, five hundred sixty-five million, one hundred twelve thousand, four hundred".