72620835 has 32 divisors (see below), whose sum is σ = 133166592. Its totient is φ = 33104640.

The previous prime is 72620827. The next prime is 72620839. The reversal of 72620835 is 53802627.

It is not a de Polignac number, because 72620835 - 2³ = 72620827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72620796 and 72620805.

It is not an unprimeable number, because it can be changed into a prime (72620839) 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 31 ways as a sum of consecutive naturals, for example, 48295 + ... + 49775.

It is an arithmetic number, because the mean of its divisors is an integer number (4161456).

Almost surely, 2^72620835 is an apocalyptic number.

72620835 is a deficient number, since it is larger than the sum of its proper divisors (60545757).

72620835 is a wasteful number, since it uses less digits than its factorization.

72620835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72620835 is about 8521.7859043747. The cubic root of 72620835 is about 417.2090745762.

The spelling of 72620835 in words is "seventy-two million, six hundred twenty thousand, eight hundred thirty-five".