72402605275000 has 384 divisors, whose sum is σ = 227825863211520. Its totient is φ = 20831112000000.

The previous prime is 72402605274931. The next prime is 72402605275001. The reversal of 72402605275000 is 57250620427.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72402605275001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23578395 + ... + 26471605.

It is an arithmetic number, because the mean of its divisors is an integer number (593296518780).

Almost surely, 2^{72402605275000} is an apocalyptic number.

72402605275000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72402605275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113912931605760).

72402605275000 is an abundant number, since it is smaller than the sum of its proper divisors (155423257936520).

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

72402605275000 is a wasteful number, since it uses less digits than its factorization.

72402605275000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893273 (or 2893249 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

Adding to 72402605275000 its reverse (57250620427), we get a palindrome (72459855895427).

The spelling of 72402605275000 in words is "seventy-two trillion, four hundred two billion, six hundred five million, two hundred seventy-five thousand".