61767972 has 72 divisors (see below), whose sum is σ = 186216576. Its totient is φ = 16879104.

The previous prime is 61767943. The next prime is 61767991. The reversal of 61767972 is 27976716.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 468 + ... + 11124.

Almost surely, 2^61767972 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 61767972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93108288).

61767972 is an abundant number, since it is smaller than the sum of its proper divisors (124448604).

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

61767972 is a wasteful number, since it uses less digits than its factorization.

61767972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10692 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 61767972 is about 7859.2602705344. The cubic root of 61767972 is about 395.2948116891.

The spelling of 61767972 in words is "sixty-one million, seven hundred sixty-seven thousand, nine hundred seventy-two".