61725120 has 112 divisors (see below), whose sum is σ = 198059040. Its totient is φ = 16285696.

The previous prime is 61725109. The next prime is 61725127. The reversal of 61725120 is 2152716.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61725127) 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, 108196 + ... + 108764.

Almost surely, 2^61725120 is an apocalyptic number.

61725120 is a gapful number since it is divisible by the number (60) 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 61725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99029520).

61725120 is an abundant number, since it is smaller than the sum of its proper divisors (136333920).

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

61725120 is a wasteful number, since it uses less digits than its factorization.

61725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 61725120 is about 7856.5335867671. The cubic root of 61725120 is about 395.2033776149.

Adding to 61725120 its reverse (2152716), we get a palindrome (63877836).

The spelling of 61725120 in words is "sixty-one million, seven hundred twenty-five thousand, one hundred twenty".