61974972 has 108 divisors (see below), whose sum is σ = 171203760. Its totient is φ = 18864384.

The previous prime is 61974961. The next prime is 61974973. The reversal of 61974972 is 27947916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61974973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696304 + ... + 696392.

It is an arithmetic number, because the mean of its divisors is an integer number (1585220).

Almost surely, 2^61974972 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 61974972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601880).

61974972 is an abundant number, since it is smaller than the sum of its proper divisors (109228788).

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

61974972 is a wasteful number, since it uses less digits than its factorization.

61974972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 146 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 61974972 is about 7872.4184340011. The cubic root of 61974972 is about 395.7358967512.

The spelling of 61974972 in words is "sixty-one million, nine hundred seventy-four thousand, nine hundred seventy-two".