72535415400 has 432 divisors, whose sum is σ = 284031820800. Its totient is φ = 16540796160.

The previous prime is 72535415369. The next prime is 72535415401. The reversal of 72535415400 is 451453527.

72535415400 is a `hidden beast` number, since 72 + 5 + 3 + 5 + 41 + 540 + 0 = 666.

It is a super-2 number, since 2×72535415400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72535415401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56711961 + ... + 56713239.

Almost surely, 2^72535415400 is an apocalyptic number.

72535415400 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 72535415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142015910400).

72535415400 is an abundant number, since it is smaller than the sum of its proper divisors (211496405400).

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

72535415400 is a wasteful number, since it uses less digits than its factorization.

72535415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 72535415400 its reverse (451453527), we get a palindrome (72986868927).

The spelling of 72535415400 in words is "seventy-two billion, five hundred thirty-five million, four hundred fifteen thousand, four hundred".