61972120 has 64 divisors (see below), whose sum is σ = 166302720. Its totient is φ = 20321664.

The previous prime is 61972093. The next prime is 61972147. The reversal of 61972120 is 2127916.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61972093) and next prime (61972147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 11251.

It is an arithmetic number, because the mean of its divisors is an integer number (2598480).

Almost surely, 2^61972120 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 61972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83151360).

61972120 is an abundant number, since it is smaller than the sum of its proper divisors (104330600).

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

61972120 is a wasteful number, since it uses less digits than its factorization.

61972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 61972120 is about 7872.2372931715. The cubic root of 61972120 is about 395.7298262572.

The spelling of 61972120 in words is "sixty-one million, nine hundred seventy-two thousand, one hundred twenty".