61947072 has 112 divisors (see below), whose sum is σ = 198729600. Its totient is φ = 18766080.

The previous prime is 61947059. The next prime is 61947091. The reversal of 61947072 is 27074916.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17379 + ... + 20637.

Almost surely, 2^61947072 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 61947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99364800).

61947072 is an abundant number, since it is smaller than the sum of its proper divisors (136782528).

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

61947072 is a wasteful number, since it uses less digits than its factorization.

61947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 61947072 is about 7870.6462250567. The cubic root of 61947072 is about 395.6765034811.

The spelling of 61947072 in words is "sixty-one million, nine hundred forty-seven thousand, seventy-two".