72395607375 has 432 divisors, whose sum is σ = 173463357600. Its totient is φ = 28870732800.

The previous prime is 72395607257. The next prime is 72395607379. The reversal of 72395607375 is 57370659327.

72395607375 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 560 + 7 + 3 + 75 = 666.

It is not a de Polignac number, because 72395607375 - 2¹³ = 72395599183 is a prime.

It is a super-2 number, since 2×72395607375² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72395607379) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 177006171 + ... + 177006579.

It is an arithmetic number, because the mean of its divisors is an integer number (401535550).

Almost surely, 2^72395607375 is an apocalyptic number.

72395607375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72395607375 is an abundant number, since it is smaller than the sum of its proper divisors (101067750225).

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

72395607375 is a wasteful number, since it uses less digits than its factorization.

72395607375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 54.

The spelling of 72395607375 in words is "seventy-two billion, three hundred ninety-five million, six hundred seven thousand, three hundred seventy-five".