72611379540 has 576 divisors, whose sum is σ = 272120808960. Its totient is φ = 15297085440.

The previous prime is 72611379509. The next prime is 72611379553. The reversal of 72611379540 is 4597311627.

72611379540 is a `hidden beast` number, since 7 + 26 + 1 + 13 + 79 + 540 = 666.

It is a super-2 number, since 2×72611379540² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 317080146 + ... + 317080374.

It is an arithmetic number, because the mean of its divisors is an integer number (472431960).

Almost surely, 2^72611379540 is an apocalyptic number.

72611379540 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 72611379540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136060404480).

72611379540 is an abundant number, since it is smaller than the sum of its proper divisors (199509429420).

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

72611379540 is a wasteful number, since it uses less digits than its factorization.

72611379540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 72611379540 in words is "seventy-two billion, six hundred eleven million, three hundred seventy-nine thousand, five hundred forty".