72774240 has 288 divisors, whose sum is σ = 289578240. Its totient is φ = 15037440.

The previous prime is 72774239. The next prime is 72774241. The reversal of 72774240 is 4247727.

It is an interprime number because it is at equal distance from previous prime (72774239) and next prime (72774241).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72774241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406471 + ... + 406649.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^72774240 is an apocalyptic number.

72774240 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 72774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

72774240 is an abundant number, since it is smaller than the sum of its proper divisors (216804000).

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

72774240 is a wasteful number, since it uses less digits than its factorization.

72774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 72774240 is about 8530.7819102354. The cubic root of 72774240 is about 417.5026402118.

The spelling of 72774240 in words is "seventy-two million, seven hundred seventy-four thousand, two hundred forty".