72920429 has 8 divisors (see below), whose sum is σ = 78007608. Its totient is φ = 67921920.

The previous prime is 72920363. The next prime is 72920443. The reversal of 72920429 is 92402927.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41538025 + 31382404 = 6445^2 + 5602^2 .

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 72920429 - 2⁸ = 72920173 is a prime.

It is a super-4 number, since 4×72920429⁴ (a number of 33 digits) contains 4444 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 (72920489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20462 + ... + 23759.

It is an arithmetic number, because the mean of its divisors is an integer number (9750951).

Almost surely, 2^72920429 is an apocalyptic number.

It is an amenable number.

72920429 is a deficient number, since it is larger than the sum of its proper divisors (5087179).

72920429 is a wasteful number, since it uses less digits than its factorization.

72920429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44335.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 72920429 is about 8539.3459351405. The cubic root of 72920429 is about 417.7820131989.

The spelling of 72920429 in words is "seventy-two million, nine hundred twenty thousand, four hundred twenty-nine".