72335025 has 99 divisors (see below), whose sum is σ = 156508491. Its totient is φ = 33067440.

The previous prime is 72334993. The next prime is 72335027. The reversal of 72335025 is 52053327.

The square root of 72335025 is 8505.

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

It can be written as a sum of positive squares in only one way, i.e., 26040609 + 46294416 = 5103^2 + 6804^2 .

It is not a de Polignac number, because 72335025 - 2⁵ = 72334993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72335025.

It is not an unprimeable number, because it can be changed into a prime (72335027) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 10333572 + ... + 10333578.

Almost surely, 2^72335025 is an apocalyptic number.

72335025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72335025 is the 8505-th square number.

72335025 is the 4253-rd centered octagonal number.

It is an amenable number.

72335025 is an abundant number, since it is smaller than the sum of its proper divisors (84173466).

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

72335025 is an frugal number, since it uses more digits than its factorization.

72335025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The cubic root of 72335025 is about 416.6610257014.

The spelling of 72335025 in words is "seventy-two million, three hundred thirty-five thousand, twenty-five".