72035471475 has 288 divisors, whose sum is σ = 159411672000. Its totient is φ = 31720550400.

The previous prime is 72035471461. The next prime is 72035471477. The reversal of 72035471475 is 57417453027.

72035471475 is a `hidden beast` number, since 7 + 20 + 3 + 547 + 14 + 75 = 666.

It is not a de Polignac number, because 72035471475 - 2⁸ = 72035471219 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72035471475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72035471477) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40264881 + ... + 40266669.

It is an arithmetic number, because the mean of its divisors is an integer number (553512750).

Almost surely, 2^72035471475 is an apocalyptic number.

72035471475 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72035471475 is an abundant number, since it is smaller than the sum of its proper divisors (87376200525).

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

72035471475 is a wasteful number, since it uses less digits than its factorization.

72035471475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 72035471475 in words is "seventy-two billion, thirty-five million, four hundred seventy-one thousand, four hundred seventy-five".