72400236480 has 1344 divisors, whose sum is σ = 322084159488. Its totient is φ = 15208611840.

The previous prime is 72400236473. The next prime is 72400236481. The reversal of 72400236480 is 8463200427.

72400236480 is a `hidden beast` number, since 7 + 2 + 4 + 0 + 0 + 2 + 3 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72400236481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189034369 + ... + 189034751.

It is an arithmetic number, because the mean of its divisors is an integer number (239645952).

Almost surely, 2^72400236480 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 72400236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161042079744).

72400236480 is an abundant number, since it is smaller than the sum of its proper divisors (249683923008).

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

72400236480 is a wasteful number, since it uses less digits than its factorization.

72400236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 72400236480 in words is "seventy-two billion, four hundred million, two hundred thirty-six thousand, four hundred eighty".