74144567025 has 63 divisors (see below), whose sum is σ = 137914212081. Its totient is φ = 39524163840.

The previous prime is 74144566999. The next prime is 74144567033. The reversal of 74144567025 is 52076544147.

The square root of 74144567025 is 272295.

It is a perfect power (a square), and thus also a powerful number.

74144567025 is a `hidden beast` number, since 7 + 41 + 44 + 567 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4188548961 + 69956018064 = 64719^2 + 264492^2 .

It is not a de Polignac number, because 74144567025 - 2⁷ = 74144566897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 36758817 + ... + 36760833.

Almost surely, 2^74144567025 is an apocalyptic number.

74144567025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

74144567025 is the 272295-th square number.

74144567025 is the 136148-th centered octagonal number.

It is an amenable number.

74144567025 is a deficient number, since it is larger than the sum of its proper divisors (63769645056).

74144567025 is an frugal number, since it uses more digits than its factorization.

74144567025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 74144567025 in words is "seventy-four billion, one hundred forty-four million, five hundred sixty-seven thousand, twenty-five".