72028810 has 64 divisors (see below), whose sum is σ = 161095680. Its totient is φ = 22628160.

The previous prime is 72028787. The next prime is 72028843. The reversal of 72028810 is 1882027.

It is a super-2 number, since 2×72028810² = 10376298940032200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40357 + ... + 42103.

It is an arithmetic number, because the mean of its divisors is an integer number (2517120).

Almost surely, 2^72028810 is an apocalyptic number.

72028810 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72028810 is an abundant number, since it is smaller than the sum of its proper divisors (89066870).

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

72028810 is a wasteful number, since it uses less digits than its factorization.

72028810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811.

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 72028810 is about 8486.9788499795. The cubic root of 72028810 is about 416.0722453730.

The spelling of 72028810 in words is "seventy-two million, twenty-eight thousand, eight hundred ten".