72534374640 has 1280 divisors, whose sum is σ = 332978688000. Its totient is φ = 14371209216.

The previous prime is 72534374629. The next prime is 72534374663. The reversal of 72534374640 is 4647343527.

72534374640 is a `hidden beast` number, since 7 + 2 + 534 + 3 + 74 + 6 + 40 = 666.

It is a super-2 number, since 2×72534374640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 163734259 + ... + 163734701.

It is an arithmetic number, because the mean of its divisors is an integer number (260139600).

Almost surely, 2^72534374640 is an apocalyptic number.

72534374640 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 72534374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166489344000).

72534374640 is an abundant number, since it is smaller than the sum of its proper divisors (260444313360).

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

72534374640 is a wasteful number, since it uses less digits than its factorization.

72534374640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 72534374640 in words is "seventy-two billion, five hundred thirty-four million, three hundred seventy-four thousand, six hundred forty".