72403727511804 has 192 divisors, whose sum is σ = 198929354158080. Its totient is φ = 20283528867840.

The previous prime is 72403727511721. The next prime is 72403727511823. The reversal of 72403727511804 is 40811572730427.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218436102 + ... + 218767314.

It is an arithmetic number, because the mean of its divisors is an integer number (1036090386240).

Almost surely, 2^{72403727511804} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72403727511804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99464677079040).

72403727511804 is an abundant number, since it is smaller than the sum of its proper divisors (126525626646276).

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

72403727511804 is a wasteful number, since it uses less digits than its factorization.

72403727511804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333940 (or 333938 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 72403727511804 in words is "seventy-two trillion, four hundred three billion, seven hundred twenty-seven million, five hundred eleven thousand, eight hundred four".