72673510 has 32 divisors (see below), whose sum is σ = 161001792. Its totient is φ = 22999680.

The previous prime is 72673481. The next prime is 72673529. The reversal of 72673510 is 1537627.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39021 + ... + 40840.

It is an arithmetic number, because the mean of its divisors is an integer number (5031306).

Almost surely, 2^72673510 is an apocalyptic number.

72673510 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72673510 is an abundant number, since it is smaller than the sum of its proper divisors (88328282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72673510 is a wasteful number, since it uses less digits than its factorization.

72673510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79888.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72673510 is about 8524.8759521767. The cubic root of 72673510 is about 417.3099233966.

The spelling of 72673510 in words is "seventy-two million, six hundred seventy-three thousand, five hundred ten".