72762365025 has 135 divisors (see below), whose sum is σ = 152452746771. Its totient is φ = 33172161120.

The previous prime is 72762364991. The next prime is 72762365107. The reversal of 72762365025 is 52056326727.

72762365025 = 1³ + 2³ + ... + 734³.

The square root of 72762365025 is 269745.

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

72762365025 is a `hidden beast` number, since 72 + 76 + 2 + 3 + 6 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26194451409 + 46567913616 = 161847^2 + 215796^2 .

It is not a de Polignac number, because 72762365025 - 2⁷ = 72762364897 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 198262392 + ... + 198262758.

Almost surely, 2^72762365025 is an apocalyptic number.

72762365025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72762365025 is the 269745-th square number.

72762365025 is the 134873-rd centered octagonal number.

It is an amenable number.

72762365025 is an abundant number, since it is smaller than the sum of its proper divisors (79690381746).

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

72762365025 is an frugal number, since it uses more digits than its factorization.

72762365025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 72762365025 in words is "seventy-two billion, seven hundred sixty-two million, three hundred sixty-five thousand, twenty-five".