73265747040 has 288 divisors, whose sum is σ = 257283280800. Its totient is φ = 18974269440.

The previous prime is 73265747029. The next prime is 73265747041. The reversal of 73265747040 is 4074756237.

73265747040 is a `hidden beast` number, since 7 + 3 + 2 + 6 + 574 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (73265747041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13517451 + ... + 13522869.

It is an arithmetic number, because the mean of its divisors is an integer number (893344725).

Almost surely, 2^73265747040 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 73265747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128641640400).

73265747040 is an abundant number, since it is smaller than the sum of its proper divisors (184017533760).

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

73265747040 is a wasteful number, since it uses less digits than its factorization.

73265747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 73265747040 in words is "seventy-three billion, two hundred sixty-five million, seven hundred forty-seven thousand, forty".