61072400 has 30 divisors (see below), whose sum is σ = 146727402. Its totient is φ = 24428800.

The previous prime is 61072399. The next prime is 61072421. The reversal of 61072400 is 427016.

It can be written as a sum of positive squares in 3 ways, for example, as 9634816 + 51437584 = 3104^2 + 7172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75941 + ... + 76740.

Almost surely, 2^61072400 is an apocalyptic number.

It is an amenable number.

61072400 is an abundant number, since it is smaller than the sum of its proper divisors (85655002).

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

61072400 is a wasteful number, since it uses less digits than its factorization.

61072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152699 (or 152688 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 61072400 is about 7814.8832364918. The cubic root of 61072400 is about 393.8053957503.

Adding to 61072400 its reverse (427016), we get a palindrome (61499416).

The spelling of 61072400 in words is "sixty-one million, seventy-two thousand, four hundred".