72465304034310 has 256 divisors, whose sum is σ = 196712271360000. Its totient is φ = 16923366673920.

The previous prime is 72465304034287. The next prime is 72465304034317. The reversal of 72465304034310 is 1343040356427.

It is a happy number.

It is a super-3 number, since 3×72465304034310³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72465304034317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10714960989 + ... + 10714967751.

It is an arithmetic number, because the mean of its divisors is an integer number (768407310000).

Almost surely, 2^{72465304034310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72465304034310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98356135680000).

72465304034310 is an abundant number, since it is smaller than the sum of its proper divisors (124246967325690).

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

72465304034310 is a wasteful number, since it uses less digits than its factorization.

72465304034310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 72465304034310 in words is "seventy-two trillion, four hundred sixty-five billion, three hundred four million, thirty-four thousand, three hundred ten".