72774744 has 64 divisors (see below), whose sum is σ = 209015040. Its totient is φ = 20684160.

The previous prime is 72774733. The next prime is 72774761. The reversal of 72774744 is 44747727.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72774696 and 72774705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34422 + ... + 36474.

It is an arithmetic number, because the mean of its divisors is an integer number (3265860).

Almost surely, 2^72774744 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 72774744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104507520).

72774744 is an abundant number, since it is smaller than the sum of its proper divisors (136240296).

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

72774744 is a wasteful number, since it uses less digits than its factorization.

72774744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its digits is 307328, while the sum is 42.

The square root of 72774744 is about 8530.8114502666. The cubic root of 72774744 is about 417.5036040183.

It can be divided in two parts, 7277 and 4744, that added together give a palindrome (12021).

The spelling of 72774744 in words is "seventy-two million, seven hundred seventy-four thousand, seven hundred forty-four".