72829156 has 27 divisors (see below), whose sum is σ = 135930697. Its totient is φ = 34136000.

The previous prime is 72829123. The next prime is 72829217. The reversal of 72829156 is 65192827.

The square root of 72829156 is 8534.

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., 56700900 + 16128256 = 7530^2 + 4016^2 .

It is a Duffinian number.

Its product of digits (60480) is a multiple of the sum of its prime divisors (270).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 290031 + ... + 290281.

Almost surely, 2^72829156 is an apocalyptic number.

72829156 is the 8534-th square number.

It is an amenable number.

72829156 is a deficient number, since it is larger than the sum of its proper divisors (63101541).

72829156 is a wasteful number, since it uses less digits than its factorization.

72829156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The cubic root of 72829156 is about 417.6076307062.

The spelling of 72829156 in words is "seventy-two million, eight hundred twenty-nine thousand, one hundred fifty-six".