72774253440 has 512 divisors, whose sum is σ = 295483392000. Its totient is φ = 16582164480.

The previous prime is 72774253439. The next prime is 72774253441. The reversal of 72774253440 is 4435247727.

72774253440 is a `hidden beast` number, since 7 + 2 + 7 + 74 + 2 + 534 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (72774253439) and next prime (72774253441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72774253441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49471905 + ... + 49473375.

It is an arithmetic number, because the mean of its divisors is an integer number (577116000).

Almost surely, 2^72774253440 is an apocalyptic number.

72774253440 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 72774253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147741696000).

72774253440 is an abundant number, since it is smaller than the sum of its proper divisors (222709138560).

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

72774253440 is a wasteful number, since it uses less digits than its factorization.

72774253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 72774253440 in words is "seventy-two billion, seven hundred seventy-four million, two hundred fifty-three thousand, four hundred forty".