75220929 has 45 divisors (see below), whose sum is σ = 128938433. Its totient is φ = 42254856.

The previous prime is 75220927. The next prime is 75220933. The reversal of 75220929 is 92902257.

75220929 = 1100² + 1101² + ... + 1158².

The square root of 75220929 is 8673.

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

It is not a de Polignac number, because 75220929 - 2¹ = 75220927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75220893 and 75220902.

It is not an unprimeable number, because it can be changed into a prime (75220921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1274902 + ... + 1274960.

Almost surely, 2^75220929 is an apocalyptic number.

75220929 is the 8673-rd square number.

75220929 is the 4337-th centered octagonal number.

It is an amenable number.

75220929 is a deficient number, since it is larger than the sum of its proper divisors (53717504).

75220929 is an frugal number, since it uses more digits than its factorization.

75220929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 75220929 is about 422.1300127996.

Multiplying 75220929 by its sum of digits (36), we get a square (2707953444 = 52038²).

The spelling of 75220929 in words is "seventy-five million, two hundred twenty thousand, nine hundred twenty-nine".