61725072 has 80 divisors (see below), whose sum is σ = 171149760. Its totient is φ = 19109376.

The previous prime is 61725071. The next prime is 61725089. The reversal of 61725072 is 27052716.

It is not an unprimeable number, because it can be changed into a prime (61725071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47698 + ... + 48974.

It is an arithmetic number, because the mean of its divisors is an integer number (2139372).

Almost surely, 2^61725072 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 61725072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85574880).

61725072 is an abundant number, since it is smaller than the sum of its proper divisors (109424688).

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

61725072 is a wasteful number, since it uses less digits than its factorization.

61725072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 61725072 is about 7856.5305319842. The cubic root of 61725072 is about 395.2032751727.

Adding to 61725072 its reverse (27052716), we get a palindrome (88777788).

The spelling of 61725072 in words is "sixty-one million, seven hundred twenty-five thousand, seventy-two".