61240872 has 128 divisors (see below), whose sum is σ = 197222400. Its totient is φ = 15379200.

The previous prime is 61240871. The next prime is 61240877. The reversal of 61240872 is 27804216.

61240872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61240871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56754 + ... + 57822.

It is an arithmetic number, because the mean of its divisors is an integer number (1540800).

Almost surely, 2^61240872 is an apocalyptic number.

61240872 is a gapful number since it is divisible by the number (62) 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 61240872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98611200).

61240872 is an abundant number, since it is smaller than the sum of its proper divisors (135981528).

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

61240872 is a wasteful number, since it uses less digits than its factorization.

61240872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 61240872 is about 7825.6547329920. The cubic root of 61240872 is about 394.1671754860.

The spelling of 61240872 in words is "sixty-one million, two hundred forty thousand, eight hundred seventy-two".