72212625 has 24 divisors (see below), whose sum is σ = 130177320. Its totient is φ = 38512800.

The previous prime is 72212599. The next prime is 72212627. The reversal of 72212625 is 52621227.

72212625 is a `hidden beast` number, since 7 + 22 + 12 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1046529 + 71166096 = 1023^2 + 8436^2 .

It is not a de Polignac number, because 72212625 - 2²¹ = 70115473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72212627) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30970 + ... + 33219.

It is an arithmetic number, because the mean of its divisors is an integer number (5424055).

Almost surely, 2^72212625 is an apocalyptic number.

72212625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72212625 is a deficient number, since it is larger than the sum of its proper divisors (57964695).

72212625 is a wasteful number, since it uses less digits than its factorization.

72212625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64210 (or 64197 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 72212625 is about 8497.8011861893. The cubic root of 72212625 is about 416.4258786553.

The spelling of 72212625 in words is "seventy-two million, two hundred twelve thousand, six hundred twenty-five".