61235972 has 48 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 24440832.

The previous prime is 61235963. The next prime is 61235983. The reversal of 61235972 is 27953216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48404 + ... + 49652.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2^61235972 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 61235972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

61235972 is an abundant number, since it is smaller than the sum of its proper divisors (69804028).

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

61235972 is a wasteful number, since it uses less digits than its factorization.

61235972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1378 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 61235972 is about 7825.3416538832. The cubic root of 61235972 is about 394.1566625142.

It can be divided in two parts, 612 and 35972, that multiplied together give a square (22014864 = 4692²).

The spelling of 61235972 in words is "sixty-one million, two hundred thirty-five thousand, nine hundred seventy-two".