61572096 has 176 divisors, whose sum is σ = 194546880. Its totient is φ = 19169280.

The previous prime is 61572089. The next prime is 61572101. The reversal of 61572096 is 69027516.

It is a super-2 number, since 2×61572096² = 7582246011666432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61572096.

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, 469951 + ... + 470081.

It is an arithmetic number, because the mean of its divisors is an integer number (1105380).

Almost surely, 2^61572096 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 61572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97273440).

61572096 is an abundant number, since it is smaller than the sum of its proper divisors (132974784).

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

61572096 is a wasteful number, since it uses less digits than its factorization.

61572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 61572096 is about 7846.7888973771. The cubic root of 61572096 is about 394.8765217846.

The spelling of 61572096 in words is "sixty-one million, five hundred seventy-two thousand, ninety-six".