72149490 has 96 divisors (see below), whose sum is σ = 217541376. Its totient is φ = 16248960.

The previous prime is 72149489. The next prime is 72149503. The reversal of 72149490 is 9494127.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43924 + ... + 45536.

It is an arithmetic number, because the mean of its divisors is an integer number (2266056).

Almost surely, 2^72149490 is an apocalyptic number.

72149490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72149490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108770688).

72149490 is an abundant number, since it is smaller than the sum of its proper divisors (145391886).

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

72149490 is a wasteful number, since it uses less digits than its factorization.

72149490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 72149490 is about 8494.0855893969. The cubic root of 72149490 is about 416.3044838456.

The spelling of 72149490 in words is "seventy-two million, one hundred forty-nine thousand, four hundred ninety".