61672500 has 90 divisors (see below), whose sum is σ = 194876682. Its totient is φ = 16440000.

The previous prime is 61672489. The next prime is 61672543. The reversal of 61672500 is 527616.

It can be written as a sum of positive squares in 5 ways, for example, as 30603024 + 31069476 = 5532^2 + 5574^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21130 + ... + 23870.

Almost surely, 2^61672500 is an apocalyptic number.

61672500 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 61672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97438341).

61672500 is an abundant number, since it is smaller than the sum of its proper divisors (133204182).

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

61672500 is a wasteful number, since it uses less digits than its factorization.

61672500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 61672500 is about 7853.1840676251. The cubic root of 61672500 is about 395.0910434800.

The spelling of 61672500 in words is "sixty-one million, six hundred seventy-two thousand, five hundred".