61572400 has 60 divisors (see below), whose sum is σ = 150492600. Its totient is φ = 24202240.

The previous prime is 61572383. The next prime is 61572409. The reversal of 61572400 is 427516.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (61572409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22296 + ... + 24904.

It is an arithmetic number, because the mean of its divisors is an integer number (2508210).

Almost surely, 2^61572400 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 61572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75246300).

61572400 is an abundant number, since it is smaller than the sum of its proper divisors (88920200).

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

61572400 is a wasteful number, since it uses less digits than its factorization.

61572400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 61572400 is about 7846.8082683343. The cubic root of 61572400 is about 394.8771716584.

Adding to 61572400 its reverse (427516), we get a palindrome (61999916).

The spelling of 61572400 in words is "sixty-one million, five hundred seventy-two thousand, four hundred".