61542272 has 64 divisors (see below), whose sum is σ = 135313200. Its totient is φ = 27648000.

The previous prime is 61542269. The next prime is 61542277. The reversal of 61542272 is 27224516.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61542277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153272 + ... + 153672.

Almost surely, 2^61542272 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 61542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67656600).

61542272 is an abundant number, since it is smaller than the sum of its proper divisors (73770928).

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

61542272 is a wasteful number, since it uses less digits than its factorization.

61542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 61542272 is about 7844.8882719896. Note that the first 3 decimals coincide. The cubic root of 61542272 is about 394.8127553486.

Adding to 61542272 its reverse (27224516), we get a palindrome (88766788).

The spelling of 61542272 in words is "sixty-one million, five hundred forty-two thousand, two hundred seventy-two".