61072 has 20 divisors (see below), whose sum is σ = 129456. Its totient is φ = 27680.

The previous prime is 61057. The next prime is 61091. The reversal of 61072 is 27016.

61072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is an unprimeable number.

61072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 349.

2⁶¹⁰⁷² 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 61072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64728).

61072 is an abundant number, since it is smaller than the sum of its proper divisors (68384).

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

61072 is a wasteful number, since it uses less digits than its factorization.

61072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 61072 is about 247.1274974583. The cubic root of 61072 is about 39.3804535992.

Adding to 61072 its reverse (27016), we get a palindrome (88088).

The spelling of 61072 in words is "sixty-one thousand, seventy-two".