72400217804754 has 32 divisors (see below), whose sum is σ = 165486660034560. Its totient is φ = 20685720526992.

The previous prime is 72400217804753. The next prime is 72400217804771. The reversal of 72400217804754 is 45740871200427.

It is a happy number.

It is a super-2 number, since 2×72400217804754² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72400217804697 and 72400217804706.

It is not an unprimeable number, because it can be changed into a prime (72400217804753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14860047 + ... + 19121229.

It is an arithmetic number, because the mean of its divisors is an integer number (5171458126080).

Almost surely, 2^{72400217804754} is an apocalyptic number.

72400217804754 is an abundant number, since it is smaller than the sum of its proper divisors (93086442229806).

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

72400217804754 is a wasteful number, since it uses less digits than its factorization.

72400217804754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665734.

The product of its (nonzero) digits is 3512320, while the sum is 51.

The spelling of 72400217804754 in words is "seventy-two trillion, four hundred billion, two hundred seventeen million, eight hundred four thousand, seven hundred fifty-four".