61725888 has 210 divisors, whose sum is σ = 213724236. Its totient is φ = 17635968.

The previous prime is 61725877. The next prime is 61725893. The reversal of 61725888 is 88852716.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61725888 is a `hidden beast` number, since 61 + 7 + 2 + 588 + 8 = 666.

Its product of digits (215040) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8817981 + ... + 8817987.

Almost surely, 2^61725888 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 61725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106862118).

61725888 is an abundant number, since it is smaller than the sum of its proper divisors (151998348).

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

61725888 is an frugal number, since it uses more digits than its factorization.

61725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 61725888 is about 7856.5824631324. The cubic root of 61725888 is about 395.2050166825.

The spelling of 61725888 in words is "sixty-one million, seven hundred twenty-five thousand, eight hundred eighty-eight".