72919890 has 48 divisors (see below), whose sum is σ = 197840448. Its totient is φ = 18599328.

The previous prime is 72919877. The next prime is 72919897. The reversal of 72919890 is 9891927.

It is a super-2 number, since 2×72919890² = 10634620715224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72919897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15544 + ... + 19683.

It is an arithmetic number, because the mean of its divisors is an integer number (4121676).

Almost surely, 2^72919890 is an apocalyptic number.

72919890 is an abundant number, since it is smaller than the sum of its proper divisors (124920558).

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

72919890 is a wasteful number, since it uses less digits than its factorization.

72919890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35263 (or 35260 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 72919890 is about 8539.3143752880. The cubic root of 72919890 is about 417.7809838346.

The spelling of 72919890 in words is "seventy-two million, nine hundred nineteen thousand, eight hundred ninety".