72762421 has 8 divisors (see below), whose sum is σ = 75547800. Its totient is φ = 69995520.

The previous prime is 72762383. The next prime is 72762451. The reversal of 72762421 is 12426727.

It can be written as a sum of positive squares in 4 ways, for example, as 2856100 + 69906321 = 1690^2 + 8361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72762421 - 2¹⁵ = 72729653 is a prime.

It is a super-3 number, since 3×72762421³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72762451) 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 7 ways as a sum of consecutive naturals, for example, 3685 + ... + 12613.

It is an arithmetic number, because the mean of its divisors is an integer number (9443475).

Almost surely, 2^72762421 is an apocalyptic number.

It is an amenable number.

72762421 is a deficient number, since it is larger than the sum of its proper divisors (2785379).

72762421 is a wasteful number, since it uses less digits than its factorization.

72762421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239.

The product of its digits is 9408, while the sum is 31.

The square root of 72762421 is about 8530.0891554544. The cubic root of 72762421 is about 417.4800372924.

The spelling of 72762421 in words is "seventy-two million, seven hundred sixty-two thousand, four hundred twenty-one".