61378772 has 108 divisors (see below), whose sum is σ = 144573660. Its totient is φ = 22643712.

The previous prime is 61378771. The next prime is 61378777. The reversal of 61378772 is 27787316.

It can be written as a sum of positive squares in 6 ways, for example, as 1223236 + 60155536 = 1106^2 + 7756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61378771) 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 35 ways as a sum of consecutive naturals, for example, 563054 + ... + 563162.

It is an arithmetic number, because the mean of its divisors is an integer number (1338645).

Almost surely, 2^61378772 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 61378772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286830).

61378772 is an abundant number, since it is smaller than the sum of its proper divisors (83194888).

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

61378772 is a wasteful number, since it uses less digits than its factorization.

61378772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 61378772 is about 7834.4605430112. The cubic root of 61378772 is about 394.4628108679.

The spelling of 61378772 in words is "sixty-one million, three hundred seventy-eight thousand, seven hundred seventy-two".