61972320 has 192 divisors, whose sum is σ = 207277056. Its totient is φ = 15544320.

The previous prime is 61972303. The next prime is 61972439. The reversal of 61972320 is 2327916.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924927 + ... + 924993.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 2^61972320 is an apocalyptic number.

61972320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103638528).

61972320 is an abundant number, since it is smaller than the sum of its proper divisors (145304736).

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

61972320 is a wasteful number, since it uses less digits than its factorization.

61972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 61972320 is about 7872.2499960304. The cubic root of 61972320 is about 395.7302519641.

The spelling of 61972320 in words is "sixty-one million, nine hundred seventy-two thousand, three hundred twenty".