373138272 has 192 divisors, whose sum is σ = 1185408000. Its totient is φ = 113508864.

The previous prime is 373138267. The next prime is 373138277. The reversal of 373138272 is 272831373.

373138272 is a `hidden beast` number, since 373 + 13 + 8 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (373138267) and next prime (373138277).

It is a super-2 number, since 2×373138272² = 278464340062291968, which contains 22 as substring.

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 a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (373138277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561129 + ... + 1561367.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2^373138272 is an apocalyptic number.

373138272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 373138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704000).

373138272 is an abundant number, since it is smaller than the sum of its proper divisors (812269728).

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

373138272 is a wasteful number, since it uses less digits than its factorization.

373138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 373138272 is about 19316.7873105235. The cubic root of 373138272 is about 719.9294375293.

The spelling of 373138272 in words is "three hundred seventy-three million, one hundred thirty-eight thousand, two hundred seventy-two".